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Finding the Fourth Proportional to 9,338.53, 12,886.41 and 5,146.78

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Solution

The fourth proportional to 9,338.53, 12,886.41 and 5,146.78 is: 7,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.53 : 12,886.41 = 5,146.78 : x
  2. Step 2: Convert to fraction form
    9,338.53/12,886.41 = 5,146.78/x
  3. Step 3: Cross multiply
    9,338.53x = 12,886.41 × 5,146.78
  4. Step 4: Simplify right side
    9,338.53x = 66,323,517.26
  5. Step 5: Solve for x
    x = 66,323,517.26/9,338.53
  6. Step 6: Final answer
    x = 7,102.14

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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.