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Finding the Fourth Proportional to 9,788,709.80, 14,677,232.70 and 6,004,908.20

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Solution

The fourth proportional to 9,788,709.80, 14,677,232.70 and 6,004,908.20 is: 9,003,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788,709.80 : 14,677,232.70 = 6,004,908.20 : x
  2. Step 2: Convert to fraction form
    9,788,709.80/14,677,232.70 = 6,004,908.20/x
  3. Step 3: Cross multiply
    9,788,709.80x = 14,677,232.70 × 6,004,908.20
  4. Step 4: Simplify right side
    9,788,709.80x = 88,135,434,993,538.14
  5. Step 5: Solve for x
    x = 88,135,434,993,538.14/9,788,709.80
  6. Step 6: Final answer
    x = 9,003,784.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.