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Finding the Fourth Proportional to 9,902.52, 13,666.52 and 6,317.57

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Solution

The fourth proportional to 9,902.52, 13,666.52 and 6,317.57 is: 8,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.52 : 13,666.52 = 6,317.57 : x
  2. Step 2: Convert to fraction form
    9,902.52/13,666.52 = 6,317.57/x
  3. Step 3: Cross multiply
    9,902.52x = 13,666.52 × 6,317.57
  4. Step 4: Simplify right side
    9,902.52x = 86,339,096.84
  5. Step 5: Solve for x
    x = 86,339,096.84/9,902.52
  6. Step 6: Final answer
    x = 8,718.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.