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Finding the Fourth Proportional to 7,017.80, 9,685.14 and 4,034.12

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Solution

The fourth proportional to 7,017.80, 9,685.14 and 4,034.12 is: 5,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.80 : 9,685.14 = 4,034.12 : x
  2. Step 2: Convert to fraction form
    7,017.80/9,685.14 = 4,034.12/x
  3. Step 3: Cross multiply
    7,017.80x = 9,685.14 × 4,034.12
  4. Step 4: Simplify right side
    7,017.80x = 39,071,016.98
  5. Step 5: Solve for x
    x = 39,071,016.98/7,017.80
  6. Step 6: Final answer
    x = 5,567.42

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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.