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Finding the Fourth Proportional to 9,391.58, 14,109.24 and 5,498.72

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Solution

The fourth proportional to 9,391.58, 14,109.24 and 5,498.72 is: 8,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.58 : 14,109.24 = 5,498.72 : x
  2. Step 2: Convert to fraction form
    9,391.58/14,109.24 = 5,498.72/x
  3. Step 3: Cross multiply
    9,391.58x = 14,109.24 × 5,498.72
  4. Step 4: Simplify right side
    9,391.58x = 77,582,760.17
  5. Step 5: Solve for x
    x = 77,582,760.17/9,391.58
  6. Step 6: Final answer
    x = 8,260.88

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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.