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Finding the Fourth Proportional to 9,543.76, 13,167.69 and 6,186.71

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Solution

The fourth proportional to 9,543.76, 13,167.69 and 6,186.71 is: 8,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.76 : 13,167.69 = 6,186.71 : x
  2. Step 2: Convert to fraction form
    9,543.76/13,167.69 = 6,186.71/x
  3. Step 3: Cross multiply
    9,543.76x = 13,167.69 × 6,186.71
  4. Step 4: Simplify right side
    9,543.76x = 81,464,679.40
  5. Step 5: Solve for x
    x = 81,464,679.40/9,543.76
  6. Step 6: Final answer
    x = 8,535.91

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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.