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Finding the Fourth Proportional to 9,400.12, 12,972.02 and 5,151.15

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Solution

The fourth proportional to 9,400.12, 12,972.02 and 5,151.15 is: 7,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.12 : 12,972.02 = 5,151.15 : x
  2. Step 2: Convert to fraction form
    9,400.12/12,972.02 = 5,151.15/x
  3. Step 3: Cross multiply
    9,400.12x = 12,972.02 × 5,151.15
  4. Step 4: Simplify right side
    9,400.12x = 66,820,820.82
  5. Step 5: Solve for x
    x = 66,820,820.82/9,400.12
  6. Step 6: Final answer
    x = 7,108.51

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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.