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Finding the Fourth Proportional to 10,101, 13,940.82 and 9,658.20

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Solution

The fourth proportional to 10,101, 13,940.82 and 9,658.20 is: 13,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101 : 13,940.82 = 9,658.20 : x
  2. Step 2: Convert to fraction form
    10,101/13,940.82 = 9,658.20/x
  3. Step 3: Cross multiply
    10,101x = 13,940.82 × 9,658.20
  4. Step 4: Simplify right side
    10,101x = 134,643,227.72
  5. Step 5: Solve for x
    x = 134,643,227.72/10,101
  6. Step 6: Final answer
    x = 13,329.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.