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Finding the Fourth Proportional to 9,331.56, 12,877.86 and 5,140.20

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Solution

The fourth proportional to 9,331.56, 12,877.86 and 5,140.20 is: 7,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.56 : 12,877.86 = 5,140.20 : x
  2. Step 2: Convert to fraction form
    9,331.56/12,877.86 = 5,140.20/x
  3. Step 3: Cross multiply
    9,331.56x = 12,877.86 × 5,140.20
  4. Step 4: Simplify right side
    9,331.56x = 66,194,775.97
  5. Step 5: Solve for x
    x = 66,194,775.97/9,331.56
  6. Step 6: Final answer
    x = 7,093.65

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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.