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Finding the Fourth Proportional to 9,323.38, 12,866.14 and 6,944

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Solution

The fourth proportional to 9,323.38, 12,866.14 and 6,944 is: 9,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.38 : 12,866.14 = 6,944 : x
  2. Step 2: Convert to fraction form
    9,323.38/12,866.14 = 6,944/x
  3. Step 3: Cross multiply
    9,323.38x = 12,866.14 × 6,944
  4. Step 4: Simplify right side
    9,323.38x = 89,342,476.16
  5. Step 5: Solve for x
    x = 89,342,476.16/9,323.38
  6. Step 6: Final answer
    x = 9,582.63

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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.