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Finding the Fourth Proportional to 9,228.41, 12,730.78 and 6,040.31

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Solution

The fourth proportional to 9,228.41, 12,730.78 and 6,040.31 is: 8,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.41 : 12,730.78 = 6,040.31 : x
  2. Step 2: Convert to fraction form
    9,228.41/12,730.78 = 6,040.31/x
  3. Step 3: Cross multiply
    9,228.41x = 12,730.78 × 6,040.31
  4. Step 4: Simplify right side
    9,228.41x = 76,897,801.64
  5. Step 5: Solve for x
    x = 76,897,801.64/9,228.41
  6. Step 6: Final answer
    x = 8,332.72

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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.