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Finding the Fourth Proportional to 9,620.77, 14,432.67 and 4,074.15

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Solution

The fourth proportional to 9,620.77, 14,432.67 and 4,074.15 is: 6,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.77 : 14,432.67 = 4,074.15 : x
  2. Step 2: Convert to fraction form
    9,620.77/14,432.67 = 4,074.15/x
  3. Step 3: Cross multiply
    9,620.77x = 14,432.67 × 4,074.15
  4. Step 4: Simplify right side
    9,620.77x = 58,800,862.48
  5. Step 5: Solve for x
    x = 58,800,862.48/9,620.77
  6. Step 6: Final answer
    x = 6,111.87

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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.