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Finding the Fourth Proportional to 9,175.71, 12,666.36 and 6,195.59

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Solution

The fourth proportional to 9,175.71, 12,666.36 and 6,195.59 is: 8,552.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.71 : 12,666.36 = 6,195.59 : x
  2. Step 2: Convert to fraction form
    9,175.71/12,666.36 = 6,195.59/x
  3. Step 3: Cross multiply
    9,175.71x = 12,666.36 × 6,195.59
  4. Step 4: Simplify right side
    9,175.71x = 78,475,510.02
  5. Step 5: Solve for x
    x = 78,475,510.02/9,175.71
  6. Step 6: Final answer
    x = 8,552.53

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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.