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Finding the Fourth Proportional to 12,278.38, 16,944.28 and 6,973.30

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Solution

The fourth proportional to 12,278.38, 16,944.28 and 6,973.30 is: 9,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.38 : 16,944.28 = 6,973.30 : x
  2. Step 2: Convert to fraction form
    12,278.38/16,944.28 = 6,973.30/x
  3. Step 3: Cross multiply
    12,278.38x = 16,944.28 × 6,973.30
  4. Step 4: Simplify right side
    12,278.38x = 118,157,547.72
  5. Step 5: Solve for x
    x = 118,157,547.72/12,278.38
  6. Step 6: Final answer
    x = 9,623.22

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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.