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Finding the Fourth Proportional to 9,869.82, 13,619.78 and 5,393.61

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Solution

The fourth proportional to 9,869.82, 13,619.78 and 5,393.61 is: 7,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.82 : 13,619.78 = 5,393.61 : x
  2. Step 2: Convert to fraction form
    9,869.82/13,619.78 = 5,393.61/x
  3. Step 3: Cross multiply
    9,869.82x = 13,619.78 × 5,393.61
  4. Step 4: Simplify right side
    9,869.82x = 73,459,720.59
  5. Step 5: Solve for x
    x = 73,459,720.59/9,869.82
  6. Step 6: Final answer
    x = 7,442.86

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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.