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Finding the Fourth Proportional to 9,722.85, 14,581.22 and 3,147.68

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Solution

The fourth proportional to 9,722.85, 14,581.22 and 3,147.68 is: 4,720.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.85 : 14,581.22 = 3,147.68 : x
  2. Step 2: Convert to fraction form
    9,722.85/14,581.22 = 3,147.68/x
  3. Step 3: Cross multiply
    9,722.85x = 14,581.22 × 3,147.68
  4. Step 4: Simplify right side
    9,722.85x = 45,896,925.93
  5. Step 5: Solve for x
    x = 45,896,925.93/9,722.85
  6. Step 6: Final answer
    x = 4,720.52

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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.