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Finding the Fourth Proportional to 9,314.87, 13,974.39 and 4,931.42

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Solution

The fourth proportional to 9,314.87, 13,974.39 and 4,931.42 is: 7,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.87 : 13,974.39 = 4,931.42 : x
  2. Step 2: Convert to fraction form
    9,314.87/13,974.39 = 4,931.42/x
  3. Step 3: Cross multiply
    9,314.87x = 13,974.39 × 4,931.42
  4. Step 4: Simplify right side
    9,314.87x = 68,913,516.46
  5. Step 5: Solve for x
    x = 68,913,516.46/9,314.87
  6. Step 6: Final answer
    x = 7,398.23

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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.