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Finding the Fourth Proportional to 6,551.97, 9,041.45 and 3,567.80

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Solution

The fourth proportional to 6,551.97, 9,041.45 and 3,567.80 is: 4,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.97 : 9,041.45 = 3,567.80 : x
  2. Step 2: Convert to fraction form
    6,551.97/9,041.45 = 3,567.80/x
  3. Step 3: Cross multiply
    6,551.97x = 9,041.45 × 3,567.80
  4. Step 4: Simplify right side
    6,551.97x = 32,258,116.83
  5. Step 5: Solve for x
    x = 32,258,116.83/6,551.97
  6. Step 6: Final answer
    x = 4,923.42

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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.