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Finding the Fourth Proportional to 9,314.42, 13,972.29 and 3,471

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Solution

The fourth proportional to 9,314.42, 13,972.29 and 3,471 is: 5,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.42 : 13,972.29 = 3,471 : x
  2. Step 2: Convert to fraction form
    9,314.42/13,972.29 = 3,471/x
  3. Step 3: Cross multiply
    9,314.42x = 13,972.29 × 3,471
  4. Step 4: Simplify right side
    9,314.42x = 48,497,818.59
  5. Step 5: Solve for x
    x = 48,497,818.59/9,314.42
  6. Step 6: Final answer
    x = 5,206.75

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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.