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Finding the Fourth Proportional to 9,169.47, 12,649.77 and 5,630.58

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Solution

The fourth proportional to 9,169.47, 12,649.77 and 5,630.58 is: 7,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.47 : 12,649.77 = 5,630.58 : x
  2. Step 2: Convert to fraction form
    9,169.47/12,649.77 = 5,630.58/x
  3. Step 3: Cross multiply
    9,169.47x = 12,649.77 × 5,630.58
  4. Step 4: Simplify right side
    9,169.47x = 71,225,541.97
  5. Step 5: Solve for x
    x = 71,225,541.97/9,169.47
  6. Step 6: Final answer
    x = 7,767.68

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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.