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Finding the Fourth Proportional to 9,445.20, 14,167.80 and 9,380.40

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Solution

The fourth proportional to 9,445.20, 14,167.80 and 9,380.40 is: 14,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.20 : 14,167.80 = 9,380.40 : x
  2. Step 2: Convert to fraction form
    9,445.20/14,167.80 = 9,380.40/x
  3. Step 3: Cross multiply
    9,445.20x = 14,167.80 × 9,380.40
  4. Step 4: Simplify right side
    9,445.20x = 132,899,631.12
  5. Step 5: Solve for x
    x = 132,899,631.12/9,445.20
  6. Step 6: Final answer
    x = 14,070.60

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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.