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Finding the Fourth Proportional to 9,106.62, 12,555.99 and 7,214.46

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Solution

The fourth proportional to 9,106.62, 12,555.99 and 7,214.46 is: 9,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.62 : 12,555.99 = 7,214.46 : x
  2. Step 2: Convert to fraction form
    9,106.62/12,555.99 = 7,214.46/x
  3. Step 3: Cross multiply
    9,106.62x = 12,555.99 × 7,214.46
  4. Step 4: Simplify right side
    9,106.62x = 90,584,687.62
  5. Step 5: Solve for x
    x = 90,584,687.62/9,106.62
  6. Step 6: Final answer
    x = 9,947.13

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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.