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Finding the Fourth Proportional to 6,304.08, 9,455.40 and 2,408.40

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Solution

The fourth proportional to 6,304.08, 9,455.40 and 2,408.40 is: 3,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.08 : 9,455.40 = 2,408.40 : x
  2. Step 2: Convert to fraction form
    6,304.08/9,455.40 = 2,408.40/x
  3. Step 3: Cross multiply
    6,304.08x = 9,455.40 × 2,408.40
  4. Step 4: Simplify right side
    6,304.08x = 22,772,385.36
  5. Step 5: Solve for x
    x = 22,772,385.36/6,304.08
  6. Step 6: Final answer
    x = 3,612.32

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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.