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Finding the Fourth Proportional to 9,401.70, 12,972.42 and 5,421.78

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Solution

The fourth proportional to 9,401.70, 12,972.42 and 5,421.78 is: 7,480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.70 : 12,972.42 = 5,421.78 : x
  2. Step 2: Convert to fraction form
    9,401.70/12,972.42 = 5,421.78/x
  3. Step 3: Cross multiply
    9,401.70x = 12,972.42 × 5,421.78
  4. Step 4: Simplify right side
    9,401.70x = 70,333,607.31
  5. Step 5: Solve for x
    x = 70,333,607.31/9,401.70
  6. Step 6: Final answer
    x = 7,480.95

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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.