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Finding the Fourth Proportional to 7,149.60, 9,865.80 and 4,167.36

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Solution

The fourth proportional to 7,149.60, 9,865.80 and 4,167.36 is: 5,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.60 : 9,865.80 = 4,167.36 : x
  2. Step 2: Convert to fraction form
    7,149.60/9,865.80 = 4,167.36/x
  3. Step 3: Cross multiply
    7,149.60x = 9,865.80 × 4,167.36
  4. Step 4: Simplify right side
    7,149.60x = 41,114,340.29
  5. Step 5: Solve for x
    x = 41,114,340.29/7,149.60
  6. Step 6: Final answer
    x = 5,750.58

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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.