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Finding the Fourth Proportional to 9,314.89, 12,854.29 and 5,123.14

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Solution

The fourth proportional to 9,314.89, 12,854.29 and 5,123.14 is: 7,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.89 : 12,854.29 = 5,123.14 : x
  2. Step 2: Convert to fraction form
    9,314.89/12,854.29 = 5,123.14/x
  3. Step 3: Cross multiply
    9,314.89x = 12,854.29 × 5,123.14
  4. Step 4: Simplify right side
    9,314.89x = 65,854,327.27
  5. Step 5: Solve for x
    x = 65,854,327.27/9,314.89
  6. Step 6: Final answer
    x = 7,069.79

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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.