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Finding the Fourth Proportional to 9,652.16, 14,478.39 and 3,083.87

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Solution

The fourth proportional to 9,652.16, 14,478.39 and 3,083.87 is: 4,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.16 : 14,478.39 = 3,083.87 : x
  2. Step 2: Convert to fraction form
    9,652.16/14,478.39 = 3,083.87/x
  3. Step 3: Cross multiply
    9,652.16x = 14,478.39 × 3,083.87
  4. Step 4: Simplify right side
    9,652.16x = 44,649,472.57
  5. Step 5: Solve for x
    x = 44,649,472.57/9,652.16
  6. Step 6: Final answer
    x = 4,625.85

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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.