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Finding the Fourth Proportional to 9,074, 12,523.56 and 5,347.28

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Solution

The fourth proportional to 9,074, 12,523.56 and 5,347.28 is: 7,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074 : 12,523.56 = 5,347.28 : x
  2. Step 2: Convert to fraction form
    9,074/12,523.56 = 5,347.28/x
  3. Step 3: Cross multiply
    9,074x = 12,523.56 × 5,347.28
  4. Step 4: Simplify right side
    9,074x = 66,966,981.92
  5. Step 5: Solve for x
    x = 66,966,981.92/9,074
  6. Step 6: Final answer
    x = 7,380.09

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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.