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Finding the Fourth Proportional to 6,913.34, 9,540.12 and 3,928.76

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Solution

The fourth proportional to 6,913.34, 9,540.12 and 3,928.76 is: 5,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.34 : 9,540.12 = 3,928.76 : x
  2. Step 2: Convert to fraction form
    6,913.34/9,540.12 = 3,928.76/x
  3. Step 3: Cross multiply
    6,913.34x = 9,540.12 × 3,928.76
  4. Step 4: Simplify right side
    6,913.34x = 37,480,841.85
  5. Step 5: Solve for x
    x = 37,480,841.85/6,913.34
  6. Step 6: Final answer
    x = 5,421.52

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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.