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Finding the Fourth Proportional to 6,901.92, 9,524.88 and 4,106.88

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Solution

The fourth proportional to 6,901.92, 9,524.88 and 4,106.88 is: 5,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.92 : 9,524.88 = 4,106.88 : x
  2. Step 2: Convert to fraction form
    6,901.92/9,524.88 = 4,106.88/x
  3. Step 3: Cross multiply
    6,901.92x = 9,524.88 × 4,106.88
  4. Step 4: Simplify right side
    6,901.92x = 39,117,539.17
  5. Step 5: Solve for x
    x = 39,117,539.17/6,901.92
  6. Step 6: Final answer
    x = 5,667.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.