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Finding the Fourth Proportional to 9,724.60, 14,576.10 and 5,345.20

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Solution

The fourth proportional to 9,724.60, 14,576.10 and 5,345.20 is: 8,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.60 : 14,576.10 = 5,345.20 : x
  2. Step 2: Convert to fraction form
    9,724.60/14,576.10 = 5,345.20/x
  3. Step 3: Cross multiply
    9,724.60x = 14,576.10 × 5,345.20
  4. Step 4: Simplify right side
    9,724.60x = 77,912,169.72
  5. Step 5: Solve for x
    x = 77,912,169.72/9,724.60
  6. Step 6: Final answer
    x = 8,011.86

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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.