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Finding the Fourth Proportional to 9,414.12, 14,122.80 and 9,404.40

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Solution

The fourth proportional to 9,414.12, 14,122.80 and 9,404.40 is: 14,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.12 : 14,122.80 = 9,404.40 : x
  2. Step 2: Convert to fraction form
    9,414.12/14,122.80 = 9,404.40/x
  3. Step 3: Cross multiply
    9,414.12x = 14,122.80 × 9,404.40
  4. Step 4: Simplify right side
    9,414.12x = 132,816,460.32
  5. Step 5: Solve for x
    x = 132,816,460.32/9,414.12
  6. Step 6: Final answer
    x = 14,108.22

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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.