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Finding the Fourth Proportional to 8,957.48, 13,438.65 and 3,114.55

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Solution

The fourth proportional to 8,957.48, 13,438.65 and 3,114.55 is: 4,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.48 : 13,438.65 = 3,114.55 : x
  2. Step 2: Convert to fraction form
    8,957.48/13,438.65 = 3,114.55/x
  3. Step 3: Cross multiply
    8,957.48x = 13,438.65 × 3,114.55
  4. Step 4: Simplify right side
    8,957.48x = 41,855,280.16
  5. Step 5: Solve for x
    x = 41,855,280.16/8,957.48
  6. Step 6: Final answer
    x = 4,672.66

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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.