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Finding the Fourth Proportional to 9,204.18, 12,701.76 and 5,012.46

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Solution

The fourth proportional to 9,204.18, 12,701.76 and 5,012.46 is: 6,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.18 : 12,701.76 = 5,012.46 : x
  2. Step 2: Convert to fraction form
    9,204.18/12,701.76 = 5,012.46/x
  3. Step 3: Cross multiply
    9,204.18x = 12,701.76 × 5,012.46
  4. Step 4: Simplify right side
    9,204.18x = 63,667,063.93
  5. Step 5: Solve for x
    x = 63,667,063.93/9,204.18
  6. Step 6: Final answer
    x = 6,917.19

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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.