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Finding the Fourth Proportional to 9,640.62, 14,459.65 and 2,715.66

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Solution

The fourth proportional to 9,640.62, 14,459.65 and 2,715.66 is: 4,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.62 : 14,459.65 = 2,715.66 : x
  2. Step 2: Convert to fraction form
    9,640.62/14,459.65 = 2,715.66/x
  3. Step 3: Cross multiply
    9,640.62x = 14,459.65 × 2,715.66
  4. Step 4: Simplify right side
    9,640.62x = 39,267,493.12
  5. Step 5: Solve for x
    x = 39,267,493.12/9,640.62
  6. Step 6: Final answer
    x = 4,073.13

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