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Finding the Fourth Proportional to 9,652.60, 14,479.98 and 3,077.20

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Solution

The fourth proportional to 9,652.60, 14,479.98 and 3,077.20 is: 4,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.60 : 14,479.98 = 3,077.20 : x
  2. Step 2: Convert to fraction form
    9,652.60/14,479.98 = 3,077.20/x
  3. Step 3: Cross multiply
    9,652.60x = 14,479.98 × 3,077.20
  4. Step 4: Simplify right side
    9,652.60x = 44,557,794.46
  5. Step 5: Solve for x
    x = 44,557,794.46/9,652.60
  6. Step 6: Final answer
    x = 4,616.14

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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.