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Finding the Fourth Proportional to 9,324.92, 12,868.14 and 5,133.14

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Solution

The fourth proportional to 9,324.92, 12,868.14 and 5,133.14 is: 7,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.92 : 12,868.14 = 5,133.14 : x
  2. Step 2: Convert to fraction form
    9,324.92/12,868.14 = 5,133.14/x
  3. Step 3: Cross multiply
    9,324.92x = 12,868.14 × 5,133.14
  4. Step 4: Simplify right side
    9,324.92x = 66,053,964.16
  5. Step 5: Solve for x
    x = 66,053,964.16/9,324.92
  6. Step 6: Final answer
    x = 7,083.60

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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.