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Finding the Fourth Proportional to 9,310.06, 12,851.13 and 5,584.06

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Solution

The fourth proportional to 9,310.06, 12,851.13 and 5,584.06 is: 7,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.06 : 12,851.13 = 5,584.06 : x
  2. Step 2: Convert to fraction form
    9,310.06/12,851.13 = 5,584.06/x
  3. Step 3: Cross multiply
    9,310.06x = 12,851.13 × 5,584.06
  4. Step 4: Simplify right side
    9,310.06x = 71,761,480.99
  5. Step 5: Solve for x
    x = 71,761,480.99/9,310.06
  6. Step 6: Final answer
    x = 7,707.95

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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.