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Finding the Fourth Proportional to 9,497.52, 14,237.60 and 4,229.76

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Solution

The fourth proportional to 9,497.52, 14,237.60 and 4,229.76 is: 6,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.52 : 14,237.60 = 4,229.76 : x
  2. Step 2: Convert to fraction form
    9,497.52/14,237.60 = 4,229.76/x
  3. Step 3: Cross multiply
    9,497.52x = 14,237.60 × 4,229.76
  4. Step 4: Simplify right side
    9,497.52x = 60,221,630.98
  5. Step 5: Solve for x
    x = 60,221,630.98/9,497.52
  6. Step 6: Final answer
    x = 6,340.77

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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.