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Finding the Fourth Proportional to 9,205.22, 12,703.19 and 5,013.47

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Solution

The fourth proportional to 9,205.22, 12,703.19 and 5,013.47 is: 6,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.22 : 12,703.19 = 5,013.47 : x
  2. Step 2: Convert to fraction form
    9,205.22/12,703.19 = 5,013.47/x
  3. Step 3: Cross multiply
    9,205.22x = 12,703.19 × 5,013.47
  4. Step 4: Simplify right side
    9,205.22x = 63,687,061.97
  5. Step 5: Solve for x
    x = 63,687,061.97/9,205.22
  6. Step 6: Final answer
    x = 6,918.58

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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.