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Finding the Fourth Proportional to 9,109.98, 12,573.17 and 6,566.18

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Solution

The fourth proportional to 9,109.98, 12,573.17 and 6,566.18 is: 9,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.98 : 12,573.17 = 6,566.18 : x
  2. Step 2: Convert to fraction form
    9,109.98/12,573.17 = 6,566.18/x
  3. Step 3: Cross multiply
    9,109.98x = 12,573.17 × 6,566.18
  4. Step 4: Simplify right side
    9,109.98x = 82,557,601.69
  5. Step 5: Solve for x
    x = 82,557,601.69/9,109.98
  6. Step 6: Final answer
    x = 9,062.33

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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.