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Finding the Fourth Proportional to 6,166.30, 9,244.65 and 4,186.71

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Solution

The fourth proportional to 6,166.30, 9,244.65 and 4,186.71 is: 6,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.30 : 9,244.65 = 4,186.71 : x
  2. Step 2: Convert to fraction form
    6,166.30/9,244.65 = 4,186.71/x
  3. Step 3: Cross multiply
    6,166.30x = 9,244.65 × 4,186.71
  4. Step 4: Simplify right side
    6,166.30x = 38,704,681.25
  5. Step 5: Solve for x
    x = 38,704,681.25/6,166.30
  6. Step 6: Final answer
    x = 6,276.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.