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Finding the Fourth Proportional to 9,149.60, 13,718.23 and 3,305.45

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Solution

The fourth proportional to 9,149.60, 13,718.23 and 3,305.45 is: 4,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.60 : 13,718.23 = 3,305.45 : x
  2. Step 2: Convert to fraction form
    9,149.60/13,718.23 = 3,305.45/x
  3. Step 3: Cross multiply
    9,149.60x = 13,718.23 × 3,305.45
  4. Step 4: Simplify right side
    9,149.60x = 45,344,923.35
  5. Step 5: Solve for x
    x = 45,344,923.35/9,149.60
  6. Step 6: Final answer
    x = 4,955.95

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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.