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Finding the Fourth Proportional to 9,195.66, 12,689.15 and 6,215.51

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Solution

The fourth proportional to 9,195.66, 12,689.15 and 6,215.51 is: 8,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.66 : 12,689.15 = 6,215.51 : x
  2. Step 2: Convert to fraction form
    9,195.66/12,689.15 = 6,215.51/x
  3. Step 3: Cross multiply
    9,195.66x = 12,689.15 × 6,215.51
  4. Step 4: Simplify right side
    9,195.66x = 78,869,539.36
  5. Step 5: Solve for x
    x = 78,869,539.36/9,195.66
  6. Step 6: Final answer
    x = 8,576.82

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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.