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Finding the Fourth Proportional to 6,314.38, 9,471.22 and 1,931.49

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Solution

The fourth proportional to 6,314.38, 9,471.22 and 1,931.49 is: 2,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.38 : 9,471.22 = 1,931.49 : x
  2. Step 2: Convert to fraction form
    6,314.38/9,471.22 = 1,931.49/x
  3. Step 3: Cross multiply
    6,314.38x = 9,471.22 × 1,931.49
  4. Step 4: Simplify right side
    6,314.38x = 18,293,561.89
  5. Step 5: Solve for x
    x = 18,293,561.89/6,314.38
  6. Step 6: Final answer
    x = 2,897.13

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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.