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Finding the Fourth Proportional to 9,400.46, 12,972.62 and 5,151.78

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Solution

The fourth proportional to 9,400.46, 12,972.62 and 5,151.78 is: 7,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.46 : 12,972.62 = 5,151.78 : x
  2. Step 2: Convert to fraction form
    9,400.46/12,972.62 = 5,151.78/x
  3. Step 3: Cross multiply
    9,400.46x = 12,972.62 × 5,151.78
  4. Step 4: Simplify right side
    9,400.46x = 66,832,058.50
  5. Step 5: Solve for x
    x = 66,832,058.50/9,400.46
  6. Step 6: Final answer
    x = 7,109.45

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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.