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Finding the Fourth Proportional to 7,061.04, 9,744.54 and 3,917.84

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Solution

The fourth proportional to 7,061.04, 9,744.54 and 3,917.84 is: 5,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.04 : 9,744.54 = 3,917.84 : x
  2. Step 2: Convert to fraction form
    7,061.04/9,744.54 = 3,917.84/x
  3. Step 3: Cross multiply
    7,061.04x = 9,744.54 × 3,917.84
  4. Step 4: Simplify right side
    7,061.04x = 38,177,485.18
  5. Step 5: Solve for x
    x = 38,177,485.18/7,061.04
  6. Step 6: Final answer
    x = 5,406.78

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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.