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Finding the Fourth Proportional to 9,151.84, 12,631.80 and 6,012.28

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Solution

The fourth proportional to 9,151.84, 12,631.80 and 6,012.28 is: 8,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.84 : 12,631.80 = 6,012.28 : x
  2. Step 2: Convert to fraction form
    9,151.84/12,631.80 = 6,012.28/x
  3. Step 3: Cross multiply
    9,151.84x = 12,631.80 × 6,012.28
  4. Step 4: Simplify right side
    9,151.84x = 75,945,918.50
  5. Step 5: Solve for x
    x = 75,945,918.50/9,151.84
  6. Step 6: Final answer
    x = 8,298.43

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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.