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Finding the Fourth Proportional to 9,400.53, 12,972.51 and 5,421.42

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Solution

The fourth proportional to 9,400.53, 12,972.51 and 5,421.42 is: 7,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.53 : 12,972.51 = 5,421.42 : x
  2. Step 2: Convert to fraction form
    9,400.53/12,972.51 = 5,421.42/x
  3. Step 3: Cross multiply
    9,400.53x = 12,972.51 × 5,421.42
  4. Step 4: Simplify right side
    9,400.53x = 70,329,425.16
  5. Step 5: Solve for x
    x = 70,329,425.16/9,400.53
  6. Step 6: Final answer
    x = 7,481.43

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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.