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Finding the Fourth Proportional to 9,285.28, 13,930.25 and 4,349.17

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Solution

The fourth proportional to 9,285.28, 13,930.25 and 4,349.17 is: 6,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.28 : 13,930.25 = 4,349.17 : x
  2. Step 2: Convert to fraction form
    9,285.28/13,930.25 = 4,349.17/x
  3. Step 3: Cross multiply
    9,285.28x = 13,930.25 × 4,349.17
  4. Step 4: Simplify right side
    9,285.28x = 60,585,018.58
  5. Step 5: Solve for x
    x = 60,585,018.58/9,285.28
  6. Step 6: Final answer
    x = 6,524.84

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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.