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Finding the Fourth Proportional to 7,062.62, 9,746.60 and 3,875.94

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Solution

The fourth proportional to 7,062.62, 9,746.60 and 3,875.94 is: 5,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.62 : 9,746.60 = 3,875.94 : x
  2. Step 2: Convert to fraction form
    7,062.62/9,746.60 = 3,875.94/x
  3. Step 3: Cross multiply
    7,062.62x = 9,746.60 × 3,875.94
  4. Step 4: Simplify right side
    7,062.62x = 37,777,217.42
  5. Step 5: Solve for x
    x = 37,777,217.42/7,062.62
  6. Step 6: Final answer
    x = 5,348.90

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Why These Related Problems?

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