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Finding the Fourth Proportional to 9,422.52, 14,136.61 and 5,678.36

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Solution

The fourth proportional to 9,422.52, 14,136.61 and 5,678.36 is: 8,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.52 : 14,136.61 = 5,678.36 : x
  2. Step 2: Convert to fraction form
    9,422.52/14,136.61 = 5,678.36/x
  3. Step 3: Cross multiply
    9,422.52x = 14,136.61 × 5,678.36
  4. Step 4: Simplify right side
    9,422.52x = 80,272,760.76
  5. Step 5: Solve for x
    x = 80,272,760.76/9,422.52
  6. Step 6: Final answer
    x = 8,519.25

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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.