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Finding the Fourth Proportional to 9,354.59, 12,909.33 and 5,162.84

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Solution

The fourth proportional to 9,354.59, 12,909.33 and 5,162.84 is: 7,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.59 : 12,909.33 = 5,162.84 : x
  2. Step 2: Convert to fraction form
    9,354.59/12,909.33 = 5,162.84/x
  3. Step 3: Cross multiply
    9,354.59x = 12,909.33 × 5,162.84
  4. Step 4: Simplify right side
    9,354.59x = 66,648,805.30
  5. Step 5: Solve for x
    x = 66,648,805.30/9,354.59
  6. Step 6: Final answer
    x = 7,124.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.