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Finding the Fourth Proportional to 9,338.52, 14,006.34 and 4,143.48

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Solution

The fourth proportional to 9,338.52, 14,006.34 and 4,143.48 is: 6,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.52 : 14,006.34 = 4,143.48 : x
  2. Step 2: Convert to fraction form
    9,338.52/14,006.34 = 4,143.48/x
  3. Step 3: Cross multiply
    9,338.52x = 14,006.34 × 4,143.48
  4. Step 4: Simplify right side
    9,338.52x = 58,034,989.66
  5. Step 5: Solve for x
    x = 58,034,989.66/9,338.52
  6. Step 6: Final answer
    x = 6,214.58

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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.