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Finding the Fourth Proportional to 6,934.10, 9,569 and 3,790.28

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Solution

The fourth proportional to 6,934.10, 9,569 and 3,790.28 is: 5,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.10 : 9,569 = 3,790.28 : x
  2. Step 2: Convert to fraction form
    6,934.10/9,569 = 3,790.28/x
  3. Step 3: Cross multiply
    6,934.10x = 9,569 × 3,790.28
  4. Step 4: Simplify right side
    6,934.10x = 36,269,189.32
  5. Step 5: Solve for x
    x = 36,269,189.32/6,934.10
  6. Step 6: Final answer
    x = 5,230.55

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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.