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Finding the Fourth Proportional to 9,354.96, 14,032.43 and 3,432.12

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Solution

The fourth proportional to 9,354.96, 14,032.43 and 3,432.12 is: 5,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.96 : 14,032.43 = 3,432.12 : x
  2. Step 2: Convert to fraction form
    9,354.96/14,032.43 = 3,432.12/x
  3. Step 3: Cross multiply
    9,354.96x = 14,032.43 × 3,432.12
  4. Step 4: Simplify right side
    9,354.96x = 48,160,926.74
  5. Step 5: Solve for x
    x = 48,160,926.74/9,354.96
  6. Step 6: Final answer
    x = 5,148.17

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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.