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Finding the Fourth Proportional to 9,478.40, 14,248.32 and 9,432.32

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Solution

The fourth proportional to 9,478.40, 14,248.32 and 9,432.32 is: 14,179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.40 : 14,248.32 = 9,432.32 : x
  2. Step 2: Convert to fraction form
    9,478.40/14,248.32 = 9,432.32/x
  3. Step 3: Cross multiply
    9,478.40x = 14,248.32 × 9,432.32
  4. Step 4: Simplify right side
    9,478.40x = 134,394,713.70
  5. Step 5: Solve for x
    x = 134,394,713.70/9,478.40
  6. Step 6: Final answer
    x = 14,179.05

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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.