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Finding the Fourth Proportional to 9,488.12, 14,242.20 and 5,331.68

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Solution

The fourth proportional to 9,488.12, 14,242.20 and 5,331.68 is: 8,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.12 : 14,242.20 = 5,331.68 : x
  2. Step 2: Convert to fraction form
    9,488.12/14,242.20 = 5,331.68/x
  3. Step 3: Cross multiply
    9,488.12x = 14,242.20 × 5,331.68
  4. Step 4: Simplify right side
    9,488.12x = 75,934,852.90
  5. Step 5: Solve for x
    x = 75,934,852.90/9,488.12
  6. Step 6: Final answer
    x = 8,003.15

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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.