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Finding the Fourth Proportional to 9,272.61, 12,794.76 and 5,918.20

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Solution

The fourth proportional to 9,272.61, 12,794.76 and 5,918.20 is: 8,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.61 : 12,794.76 = 5,918.20 : x
  2. Step 2: Convert to fraction form
    9,272.61/12,794.76 = 5,918.20/x
  3. Step 3: Cross multiply
    9,272.61x = 12,794.76 × 5,918.20
  4. Step 4: Simplify right side
    9,272.61x = 75,721,916.65
  5. Step 5: Solve for x
    x = 75,721,916.65/9,272.61
  6. Step 6: Final answer
    x = 8,166.19

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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.