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Finding the Fourth Proportional to 6,417.12, 9,619.28 and 3,821.28

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Solution

The fourth proportional to 6,417.12, 9,619.28 and 3,821.28 is: 5,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.12 : 9,619.28 = 3,821.28 : x
  2. Step 2: Convert to fraction form
    6,417.12/9,619.28 = 3,821.28/x
  3. Step 3: Cross multiply
    6,417.12x = 9,619.28 × 3,821.28
  4. Step 4: Simplify right side
    6,417.12x = 36,757,962.28
  5. Step 5: Solve for x
    x = 36,757,962.28/6,417.12
  6. Step 6: Final answer
    x = 5,728.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.