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Finding the Fourth Proportional to 6,451.68, 9,675.72 and 2,291.16

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Solution

The fourth proportional to 6,451.68, 9,675.72 and 2,291.16 is: 3,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.68 : 9,675.72 = 2,291.16 : x
  2. Step 2: Convert to fraction form
    6,451.68/9,675.72 = 2,291.16/x
  3. Step 3: Cross multiply
    6,451.68x = 9,675.72 × 2,291.16
  4. Step 4: Simplify right side
    6,451.68x = 22,168,622.64
  5. Step 5: Solve for x
    x = 22,168,622.64/6,451.68
  6. Step 6: Final answer
    x = 3,436.10

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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.