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Finding the Fourth Proportional to 6,569.12, 9,065.52 and 3,774.80

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Solution

The fourth proportional to 6,569.12, 9,065.52 and 3,774.80 is: 5,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.12 : 9,065.52 = 3,774.80 : x
  2. Step 2: Convert to fraction form
    6,569.12/9,065.52 = 3,774.80/x
  3. Step 3: Cross multiply
    6,569.12x = 9,065.52 × 3,774.80
  4. Step 4: Simplify right side
    6,569.12x = 34,220,524.90
  5. Step 5: Solve for x
    x = 34,220,524.90/6,569.12
  6. Step 6: Final answer
    x = 5,209.30

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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.