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Finding the Fourth Proportional to 6,345.88, 9,523.14 and 3,815.17

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Solution

The fourth proportional to 6,345.88, 9,523.14 and 3,815.17 is: 5,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.88 : 9,523.14 = 3,815.17 : x
  2. Step 2: Convert to fraction form
    6,345.88/9,523.14 = 3,815.17/x
  3. Step 3: Cross multiply
    6,345.88x = 9,523.14 × 3,815.17
  4. Step 4: Simplify right side
    6,345.88x = 36,332,331.34
  5. Step 5: Solve for x
    x = 36,332,331.34/6,345.88
  6. Step 6: Final answer
    x = 5,725.35

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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.