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Finding the Fourth Proportional to 9,403.46, 12,972.59 and 6,045.65

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Solution

The fourth proportional to 9,403.46, 12,972.59 and 6,045.65 is: 8,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.46 : 12,972.59 = 6,045.65 : x
  2. Step 2: Convert to fraction form
    9,403.46/12,972.59 = 6,045.65/x
  3. Step 3: Cross multiply
    9,403.46x = 12,972.59 × 6,045.65
  4. Step 4: Simplify right side
    9,403.46x = 78,427,738.73
  5. Step 5: Solve for x
    x = 78,427,738.73/9,403.46
  6. Step 6: Final answer
    x = 8,340.31

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Why These Related Problems?

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