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Finding the Fourth Proportional to 9,122.38, 12,588.90 and 4,930.64

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Solution

The fourth proportional to 9,122.38, 12,588.90 and 4,930.64 is: 6,804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.38 : 12,588.90 = 4,930.64 : x
  2. Step 2: Convert to fraction form
    9,122.38/12,588.90 = 4,930.64/x
  3. Step 3: Cross multiply
    9,122.38x = 12,588.90 × 4,930.64
  4. Step 4: Simplify right side
    9,122.38x = 62,071,333.90
  5. Step 5: Solve for x
    x = 62,071,333.90/9,122.38
  6. Step 6: Final answer
    x = 6,804.29

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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.