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Finding the Fourth Proportional to 6,908.56, 9,533.88 and 4,113.52

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Solution

The fourth proportional to 6,908.56, 9,533.88 and 4,113.52 is: 5,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.56 : 9,533.88 = 4,113.52 : x
  2. Step 2: Convert to fraction form
    6,908.56/9,533.88 = 4,113.52/x
  3. Step 3: Cross multiply
    6,908.56x = 9,533.88 × 4,113.52
  4. Step 4: Simplify right side
    6,908.56x = 39,217,806.06
  5. Step 5: Solve for x
    x = 39,217,806.06/6,908.56
  6. Step 6: Final answer
    x = 5,676.70

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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.