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Finding the Fourth Proportional to 9,498.66, 14,246.92 and 3,651.16

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Solution

The fourth proportional to 9,498.66, 14,246.92 and 3,651.16 is: 5,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.66 : 14,246.92 = 3,651.16 : x
  2. Step 2: Convert to fraction form
    9,498.66/14,246.92 = 3,651.16/x
  3. Step 3: Cross multiply
    9,498.66x = 14,246.92 × 3,651.16
  4. Step 4: Simplify right side
    9,498.66x = 52,017,784.43
  5. Step 5: Solve for x
    x = 52,017,784.43/9,498.66
  6. Step 6: Final answer
    x = 5,476.33

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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.