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Finding the Fourth Proportional to 9,738.59, 13,442.01 and 5,761.09

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Solution

The fourth proportional to 9,738.59, 13,442.01 and 5,761.09 is: 7,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.59 : 13,442.01 = 5,761.09 : x
  2. Step 2: Convert to fraction form
    9,738.59/13,442.01 = 5,761.09/x
  3. Step 3: Cross multiply
    9,738.59x = 13,442.01 × 5,761.09
  4. Step 4: Simplify right side
    9,738.59x = 77,440,562.18
  5. Step 5: Solve for x
    x = 77,440,562.18/9,738.59
  6. Step 6: Final answer
    x = 7,951.93

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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.