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Finding the Fourth Proportional to 9,601.38, 13,246.86 and 7,578.41

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Solution

The fourth proportional to 9,601.38, 13,246.86 and 7,578.41 is: 10,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.38 : 13,246.86 = 7,578.41 : x
  2. Step 2: Convert to fraction form
    9,601.38/13,246.86 = 7,578.41/x
  3. Step 3: Cross multiply
    9,601.38x = 13,246.86 × 7,578.41
  4. Step 4: Simplify right side
    9,601.38x = 100,390,070.06
  5. Step 5: Solve for x
    x = 100,390,070.06/9,601.38
  6. Step 6: Final answer
    x = 10,455.80

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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.