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Finding the Fourth Proportional to 9,341.76, 12,891.12 and 5,149.68

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Solution

The fourth proportional to 9,341.76, 12,891.12 and 5,149.68 is: 7,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.76 : 12,891.12 = 5,149.68 : x
  2. Step 2: Convert to fraction form
    9,341.76/12,891.12 = 5,149.68/x
  3. Step 3: Cross multiply
    9,341.76x = 12,891.12 × 5,149.68
  4. Step 4: Simplify right side
    9,341.76x = 66,385,142.84
  5. Step 5: Solve for x
    x = 66,385,142.84/9,341.76
  6. Step 6: Final answer
    x = 7,106.28

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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.