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Finding the Fourth Proportional to 9,283.52, 13,930.07 and 6,165.69

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Solution

The fourth proportional to 9,283.52, 13,930.07 and 6,165.69 is: 9,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.52 : 13,930.07 = 6,165.69 : x
  2. Step 2: Convert to fraction form
    9,283.52/13,930.07 = 6,165.69/x
  3. Step 3: Cross multiply
    9,283.52x = 13,930.07 × 6,165.69
  4. Step 4: Simplify right side
    9,283.52x = 85,888,444.91
  5. Step 5: Solve for x
    x = 85,888,444.91/9,283.52
  6. Step 6: Final answer
    x = 9,251.71

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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.