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Finding the Fourth Proportional to 9,899.31, 13,657.08 and 5,920.59

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Solution

The fourth proportional to 9,899.31, 13,657.08 and 5,920.59 is: 8,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.31 : 13,657.08 = 5,920.59 : x
  2. Step 2: Convert to fraction form
    9,899.31/13,657.08 = 5,920.59/x
  3. Step 3: Cross multiply
    9,899.31x = 13,657.08 × 5,920.59
  4. Step 4: Simplify right side
    9,899.31x = 80,857,971.28
  5. Step 5: Solve for x
    x = 80,857,971.28/9,899.31
  6. Step 6: Final answer
    x = 8,168.04

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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.