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Finding the Fourth Proportional to 9,243.29, 12,772.01 and 8,062.31

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Solution

The fourth proportional to 9,243.29, 12,772.01 and 8,062.31 is: 11,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.29 : 12,772.01 = 8,062.31 : x
  2. Step 2: Convert to fraction form
    9,243.29/12,772.01 = 8,062.31/x
  3. Step 3: Cross multiply
    9,243.29x = 12,772.01 × 8,062.31
  4. Step 4: Simplify right side
    9,243.29x = 102,971,903.94
  5. Step 5: Solve for x
    x = 102,971,903.94/9,243.29
  6. Step 6: Final answer
    x = 11,140.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.