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Finding the Fourth Proportional to 9,725.52, 14,588.78 and 4,732.49

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Solution

The fourth proportional to 9,725.52, 14,588.78 and 4,732.49 is: 7,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.52 : 14,588.78 = 4,732.49 : x
  2. Step 2: Convert to fraction form
    9,725.52/14,588.78 = 4,732.49/x
  3. Step 3: Cross multiply
    9,725.52x = 14,588.78 × 4,732.49
  4. Step 4: Simplify right side
    9,725.52x = 69,041,158.86
  5. Step 5: Solve for x
    x = 69,041,158.86/9,725.52
  6. Step 6: Final answer
    x = 7,098.97

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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.