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Finding the Fourth Proportional to 9,656.01, 14,480.30 and 3,078.61

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Solution

The fourth proportional to 9,656.01, 14,480.30 and 3,078.61 is: 4,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.01 : 14,480.30 = 3,078.61 : x
  2. Step 2: Convert to fraction form
    9,656.01/14,480.30 = 3,078.61/x
  3. Step 3: Cross multiply
    9,656.01x = 14,480.30 × 3,078.61
  4. Step 4: Simplify right side
    9,656.01x = 44,579,167.88
  5. Step 5: Solve for x
    x = 44,579,167.88/9,656.01
  6. Step 6: Final answer
    x = 4,616.73

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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.