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Finding the Fourth Proportional to 9,594.55, 13,238.17 and 5,402.80

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Solution

The fourth proportional to 9,594.55, 13,238.17 and 5,402.80 is: 7,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.55 : 13,238.17 = 5,402.80 : x
  2. Step 2: Convert to fraction form
    9,594.55/13,238.17 = 5,402.80/x
  3. Step 3: Cross multiply
    9,594.55x = 13,238.17 × 5,402.80
  4. Step 4: Simplify right side
    9,594.55x = 71,523,184.88
  5. Step 5: Solve for x
    x = 71,523,184.88/9,594.55
  6. Step 6: Final answer
    x = 7,454.56

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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.