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Finding the Fourth Proportional to 6,454.04, 9,662.88 and 4,108.28

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Solution

The fourth proportional to 6,454.04, 9,662.88 and 4,108.28 is: 6,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.04 : 9,662.88 = 4,108.28 : x
  2. Step 2: Convert to fraction form
    6,454.04/9,662.88 = 4,108.28/x
  3. Step 3: Cross multiply
    6,454.04x = 9,662.88 × 4,108.28
  4. Step 4: Simplify right side
    6,454.04x = 39,697,816.65
  5. Step 5: Solve for x
    x = 39,697,816.65/6,454.04
  6. Step 6: Final answer
    x = 6,150.85

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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.