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Finding the Fourth Proportional to 9,143.85, 13,713.72 and 5,447.13

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Solution

The fourth proportional to 9,143.85, 13,713.72 and 5,447.13 is: 8,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.85 : 13,713.72 = 5,447.13 : x
  2. Step 2: Convert to fraction form
    9,143.85/13,713.72 = 5,447.13/x
  3. Step 3: Cross multiply
    9,143.85x = 13,713.72 × 5,447.13
  4. Step 4: Simplify right side
    9,143.85x = 74,700,415.62
  5. Step 5: Solve for x
    x = 74,700,415.62/9,143.85
  6. Step 6: Final answer
    x = 8,169.47

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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.