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Finding the Fourth Proportional to 6,358.74, 9,536.46 and 2,846.76

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Solution

The fourth proportional to 6,358.74, 9,536.46 and 2,846.76 is: 4,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.74 : 9,536.46 = 2,846.76 : x
  2. Step 2: Convert to fraction form
    6,358.74/9,536.46 = 2,846.76/x
  3. Step 3: Cross multiply
    6,358.74x = 9,536.46 × 2,846.76
  4. Step 4: Simplify right side
    6,358.74x = 27,148,012.87
  5. Step 5: Solve for x
    x = 27,148,012.87/6,358.74
  6. Step 6: Final answer
    x = 4,269.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.