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Finding the Fourth Proportional to 9,876.17, 13,629.08 and 5,899.61

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Solution

The fourth proportional to 9,876.17, 13,629.08 and 5,899.61 is: 8,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.17 : 13,629.08 = 5,899.61 : x
  2. Step 2: Convert to fraction form
    9,876.17/13,629.08 = 5,899.61/x
  3. Step 3: Cross multiply
    9,876.17x = 13,629.08 × 5,899.61
  4. Step 4: Simplify right side
    9,876.17x = 80,406,159.02
  5. Step 5: Solve for x
    x = 80,406,159.02/9,876.17
  6. Step 6: Final answer
    x = 8,141.44

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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.