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Finding the Fourth Proportional to 9,304.48, 12,838.37 and 5,944.71

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Solution

The fourth proportional to 9,304.48, 12,838.37 and 5,944.71 is: 8,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.48 : 12,838.37 = 5,944.71 : x
  2. Step 2: Convert to fraction form
    9,304.48/12,838.37 = 5,944.71/x
  3. Step 3: Cross multiply
    9,304.48x = 12,838.37 × 5,944.71
  4. Step 4: Simplify right side
    9,304.48x = 76,320,386.52
  5. Step 5: Solve for x
    x = 76,320,386.52/9,304.48
  6. Step 6: Final answer
    x = 8,202.54

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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.