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Finding the Fourth Proportional to 9,760.91, 14,641.54 and 3,521.39

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Solution

The fourth proportional to 9,760.91, 14,641.54 and 3,521.39 is: 5,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.91 : 14,641.54 = 3,521.39 : x
  2. Step 2: Convert to fraction form
    9,760.91/14,641.54 = 3,521.39/x
  3. Step 3: Cross multiply
    9,760.91x = 14,641.54 × 3,521.39
  4. Step 4: Simplify right side
    9,760.91x = 51,558,490.53
  5. Step 5: Solve for x
    x = 51,558,490.53/9,760.91
  6. Step 6: Final answer
    x = 5,282.14

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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.