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Finding the Fourth Proportional to 9,888.58, 14,833.02 and 3,965.98

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Solution

The fourth proportional to 9,888.58, 14,833.02 and 3,965.98 is: 5,949.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.58 : 14,833.02 = 3,965.98 : x
  2. Step 2: Convert to fraction form
    9,888.58/14,833.02 = 3,965.98/x
  3. Step 3: Cross multiply
    9,888.58x = 14,833.02 × 3,965.98
  4. Step 4: Simplify right side
    9,888.58x = 58,827,474.52
  5. Step 5: Solve for x
    x = 58,827,474.52/9,888.58
  6. Step 6: Final answer
    x = 5,949.03

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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.