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Finding the Fourth Proportional to 7,017.67, 9,684.04 and 4,032.82

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Solution

The fourth proportional to 7,017.67, 9,684.04 and 4,032.82 is: 5,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.67 : 9,684.04 = 4,032.82 : x
  2. Step 2: Convert to fraction form
    7,017.67/9,684.04 = 4,032.82/x
  3. Step 3: Cross multiply
    7,017.67x = 9,684.04 × 4,032.82
  4. Step 4: Simplify right side
    7,017.67x = 39,053,921.61
  5. Step 5: Solve for x
    x = 39,053,921.61/7,017.67
  6. Step 6: Final answer
    x = 5,565.09

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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.