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Finding the Fourth Proportional to 9,532.74, 14,301.01 and 3,292.98

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Solution

The fourth proportional to 9,532.74, 14,301.01 and 3,292.98 is: 4,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.74 : 14,301.01 = 3,292.98 : x
  2. Step 2: Convert to fraction form
    9,532.74/14,301.01 = 3,292.98/x
  3. Step 3: Cross multiply
    9,532.74x = 14,301.01 × 3,292.98
  4. Step 4: Simplify right side
    9,532.74x = 47,092,939.91
  5. Step 5: Solve for x
    x = 47,092,939.91/9,532.74
  6. Step 6: Final answer
    x = 4,940.13

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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.