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Finding the Fourth Proportional to 6,534.80, 9,020.04 and 4,017.68

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Solution

The fourth proportional to 6,534.80, 9,020.04 and 4,017.68 is: 5,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.80 : 9,020.04 = 4,017.68 : x
  2. Step 2: Convert to fraction form
    6,534.80/9,020.04 = 4,017.68/x
  3. Step 3: Cross multiply
    6,534.80x = 9,020.04 × 4,017.68
  4. Step 4: Simplify right side
    6,534.80x = 36,239,634.31
  5. Step 5: Solve for x
    x = 36,239,634.31/6,534.80
  6. Step 6: Final answer
    x = 5,545.64

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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.