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Finding the Fourth Proportional to 6,168.69, 9,246.15 and 2,465.78

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Solution

The fourth proportional to 6,168.69, 9,246.15 and 2,465.78 is: 3,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.69 : 9,246.15 = 2,465.78 : x
  2. Step 2: Convert to fraction form
    6,168.69/9,246.15 = 2,465.78/x
  3. Step 3: Cross multiply
    6,168.69x = 9,246.15 × 2,465.78
  4. Step 4: Simplify right side
    6,168.69x = 22,798,925.52
  5. Step 5: Solve for x
    x = 22,798,925.52/6,168.69
  6. Step 6: Final answer
    x = 3,695.91

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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.