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Finding the Fourth Proportional to 9,784.40, 14,657.40 and 9,093.20

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Solution

The fourth proportional to 9,784.40, 14,657.40 and 9,093.20 is: 13,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.40 : 14,657.40 = 9,093.20 : x
  2. Step 2: Convert to fraction form
    9,784.40/14,657.40 = 9,093.20/x
  3. Step 3: Cross multiply
    9,784.40x = 14,657.40 × 9,093.20
  4. Step 4: Simplify right side
    9,784.40x = 133,282,669.68
  5. Step 5: Solve for x
    x = 133,282,669.68/9,784.40
  6. Step 6: Final answer
    x = 13,621.96

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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.