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Finding the Fourth Proportional to 9,720.76, 14,581.46 and 3,147

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Solution

The fourth proportional to 9,720.76, 14,581.46 and 3,147 is: 4,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.76 : 14,581.46 = 3,147 : x
  2. Step 2: Convert to fraction form
    9,720.76/14,581.46 = 3,147/x
  3. Step 3: Cross multiply
    9,720.76x = 14,581.46 × 3,147
  4. Step 4: Simplify right side
    9,720.76x = 45,887,854.62
  5. Step 5: Solve for x
    x = 45,887,854.62/9,720.76
  6. Step 6: Final answer
    x = 4,720.60

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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.