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Finding the Fourth Proportional to 9,340.81, 14,011.18 and 3,101.29

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Solution

The fourth proportional to 9,340.81, 14,011.18 and 3,101.29 is: 4,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.81 : 14,011.18 = 3,101.29 : x
  2. Step 2: Convert to fraction form
    9,340.81/14,011.18 = 3,101.29/x
  3. Step 3: Cross multiply
    9,340.81x = 14,011.18 × 3,101.29
  4. Step 4: Simplify right side
    9,340.81x = 43,452,785.90
  5. Step 5: Solve for x
    x = 43,452,785.90/9,340.81
  6. Step 6: Final answer
    x = 4,651.93

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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.