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Finding the Fourth Proportional to 6,408.32, 9,616.32 and 2,304.64

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Solution

The fourth proportional to 6,408.32, 9,616.32 and 2,304.64 is: 3,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.32 : 9,616.32 = 2,304.64 : x
  2. Step 2: Convert to fraction form
    6,408.32/9,616.32 = 2,304.64/x
  3. Step 3: Cross multiply
    6,408.32x = 9,616.32 × 2,304.64
  4. Step 4: Simplify right side
    6,408.32x = 22,162,155.72
  5. Step 5: Solve for x
    x = 22,162,155.72/6,408.32
  6. Step 6: Final answer
    x = 3,458.34

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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.