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Finding the Fourth Proportional to 6,314.14, 9,508.27 and 5,501.91

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Solution

The fourth proportional to 6,314.14, 9,508.27 and 5,501.91 is: 8,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.14 : 9,508.27 = 5,501.91 : x
  2. Step 2: Convert to fraction form
    6,314.14/9,508.27 = 5,501.91/x
  3. Step 3: Cross multiply
    6,314.14x = 9,508.27 × 5,501.91
  4. Step 4: Simplify right side
    6,314.14x = 52,313,645.80
  5. Step 5: Solve for x
    x = 52,313,645.80/6,314.14
  6. Step 6: Final answer
    x = 8,285.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.