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Finding the Fourth Proportional to 9,143.39, 12,624.04 and 5,741.85

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Solution

The fourth proportional to 9,143.39, 12,624.04 and 5,741.85 is: 7,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.39 : 12,624.04 = 5,741.85 : x
  2. Step 2: Convert to fraction form
    9,143.39/12,624.04 = 5,741.85/x
  3. Step 3: Cross multiply
    9,143.39x = 12,624.04 × 5,741.85
  4. Step 4: Simplify right side
    9,143.39x = 72,485,398.59
  5. Step 5: Solve for x
    x = 72,485,398.59/9,143.39
  6. Step 6: Final answer
    x = 7,927.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.