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Finding the Fourth Proportional to 9,085.74, 12,536.85 and 5,106.84

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Solution

The fourth proportional to 9,085.74, 12,536.85 and 5,106.84 is: 7,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.74 : 12,536.85 = 5,106.84 : x
  2. Step 2: Convert to fraction form
    9,085.74/12,536.85 = 5,106.84/x
  3. Step 3: Cross multiply
    9,085.74x = 12,536.85 × 5,106.84
  4. Step 4: Simplify right side
    9,085.74x = 64,023,687.05
  5. Step 5: Solve for x
    x = 64,023,687.05/9,085.74
  6. Step 6: Final answer
    x = 7,046.61

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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.