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Finding the Fourth Proportional to 8,957.75, 13,438.32 and 4,278.11

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Solution

The fourth proportional to 8,957.75, 13,438.32 and 4,278.11 is: 6,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.75 : 13,438.32 = 4,278.11 : x
  2. Step 2: Convert to fraction form
    8,957.75/13,438.32 = 4,278.11/x
  3. Step 3: Cross multiply
    8,957.75x = 13,438.32 × 4,278.11
  4. Step 4: Simplify right side
    8,957.75x = 57,490,589.78
  5. Step 5: Solve for x
    x = 57,490,589.78/8,957.75
  6. Step 6: Final answer
    x = 6,417.97

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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.