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Finding the Fourth Proportional to 9,340.92, 12,884.94 and 5,982.51

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Solution

The fourth proportional to 9,340.92, 12,884.94 and 5,982.51 is: 8,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.92 : 12,884.94 = 5,982.51 : x
  2. Step 2: Convert to fraction form
    9,340.92/12,884.94 = 5,982.51/x
  3. Step 3: Cross multiply
    9,340.92x = 12,884.94 × 5,982.51
  4. Step 4: Simplify right side
    9,340.92x = 77,084,282.40
  5. Step 5: Solve for x
    x = 77,084,282.40/9,340.92
  6. Step 6: Final answer
    x = 8,252.32

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Double scale
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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.