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Finding the Fourth Proportional to 6,913.90, 9,538.46 and 4,256.69

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Solution

The fourth proportional to 6,913.90, 9,538.46 and 4,256.69 is: 5,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.90 : 9,538.46 = 4,256.69 : x
  2. Step 2: Convert to fraction form
    6,913.90/9,538.46 = 4,256.69/x
  3. Step 3: Cross multiply
    6,913.90x = 9,538.46 × 4,256.69
  4. Step 4: Simplify right side
    6,913.90x = 40,602,267.30
  5. Step 5: Solve for x
    x = 40,602,267.30/6,913.90
  6. Step 6: Final answer
    x = 5,872.56

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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.