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Finding the Fourth Proportional to 9,502.20, 14,253.66 and 8,420.04

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Solution

The fourth proportional to 9,502.20, 14,253.66 and 8,420.04 is: 12,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.20 : 14,253.66 = 8,420.04 : x
  2. Step 2: Convert to fraction form
    9,502.20/14,253.66 = 8,420.04/x
  3. Step 3: Cross multiply
    9,502.20x = 14,253.66 × 8,420.04
  4. Step 4: Simplify right side
    9,502.20x = 120,016,387.35
  5. Step 5: Solve for x
    x = 120,016,387.35/9,502.20
  6. Step 6: Final answer
    x = 12,630.38

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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.