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Finding the Fourth Proportional to 9,076.74, 12,527.26 and 5,542

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Solution

The fourth proportional to 9,076.74, 12,527.26 and 5,542 is: 7,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.74 : 12,527.26 = 5,542 : x
  2. Step 2: Convert to fraction form
    9,076.74/12,527.26 = 5,542/x
  3. Step 3: Cross multiply
    9,076.74x = 12,527.26 × 5,542
  4. Step 4: Simplify right side
    9,076.74x = 69,426,074.92
  5. Step 5: Solve for x
    x = 69,426,074.92/9,076.74
  6. Step 6: Final answer
    x = 7,648.79

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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.