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Finding the Fourth Proportional to 9,588.49, 13,229.02 and 5,810.46

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Solution

The fourth proportional to 9,588.49, 13,229.02 and 5,810.46 is: 8,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.49 : 13,229.02 = 5,810.46 : x
  2. Step 2: Convert to fraction form
    9,588.49/13,229.02 = 5,810.46/x
  3. Step 3: Cross multiply
    9,588.49x = 13,229.02 × 5,810.46
  4. Step 4: Simplify right side
    9,588.49x = 76,866,691.55
  5. Step 5: Solve for x
    x = 76,866,691.55/9,588.49
  6. Step 6: Final answer
    x = 8,016.56

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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.