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Finding the Fourth Proportional to 9,715.26, 14,574.96 and 5,557.26

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Solution

The fourth proportional to 9,715.26, 14,574.96 and 5,557.26 is: 8,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.26 : 14,574.96 = 5,557.26 : x
  2. Step 2: Convert to fraction form
    9,715.26/14,574.96 = 5,557.26/x
  3. Step 3: Cross multiply
    9,715.26x = 14,574.96 × 5,557.26
  4. Step 4: Simplify right side
    9,715.26x = 80,996,842.21
  5. Step 5: Solve for x
    x = 80,996,842.21/9,715.26
  6. Step 6: Final answer
    x = 8,337.07

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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.