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Finding the Fourth Proportional to 9,354.72, 12,909.42 and 5,377.08

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Solution

The fourth proportional to 9,354.72, 12,909.42 and 5,377.08 is: 7,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.72 : 12,909.42 = 5,377.08 : x
  2. Step 2: Convert to fraction form
    9,354.72/12,909.42 = 5,377.08/x
  3. Step 3: Cross multiply
    9,354.72x = 12,909.42 × 5,377.08
  4. Step 4: Simplify right side
    9,354.72x = 69,414,984.09
  5. Step 5: Solve for x
    x = 69,414,984.09/9,354.72
  6. Step 6: Final answer
    x = 7,420.32

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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.