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Finding the Fourth Proportional to 9,646.91, 13,312.98 and 5,397.83

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Solution

The fourth proportional to 9,646.91, 13,312.98 and 5,397.83 is: 7,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.91 : 13,312.98 = 5,397.83 : x
  2. Step 2: Convert to fraction form
    9,646.91/13,312.98 = 5,397.83/x
  3. Step 3: Cross multiply
    9,646.91x = 13,312.98 × 5,397.83
  4. Step 4: Simplify right side
    9,646.91x = 71,861,202.83
  5. Step 5: Solve for x
    x = 71,861,202.83/9,646.91
  6. Step 6: Final answer
    x = 7,449.14

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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.