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Finding the Fourth Proportional to 9,538.60, 13,163.40 and 6,182.76

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Solution

The fourth proportional to 9,538.60, 13,163.40 and 6,182.76 is: 8,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.60 : 13,163.40 = 6,182.76 : x
  2. Step 2: Convert to fraction form
    9,538.60/13,163.40 = 6,182.76/x
  3. Step 3: Cross multiply
    9,538.60x = 13,163.40 × 6,182.76
  4. Step 4: Simplify right side
    9,538.60x = 81,386,142.98
  5. Step 5: Solve for x
    x = 81,386,142.98/9,538.60
  6. Step 6: Final answer
    x = 8,532.29

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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.