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Finding the Fourth Proportional to 9,660.39, 14,489.18 and 3,085.71

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Solution

The fourth proportional to 9,660.39, 14,489.18 and 3,085.71 is: 4,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.39 : 14,489.18 = 3,085.71 : x
  2. Step 2: Convert to fraction form
    9,660.39/14,489.18 = 3,085.71/x
  3. Step 3: Cross multiply
    9,660.39x = 14,489.18 × 3,085.71
  4. Step 4: Simplify right side
    9,660.39x = 44,709,407.62
  5. Step 5: Solve for x
    x = 44,709,407.62/9,660.39
  6. Step 6: Final answer
    x = 4,628.12

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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.