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Finding the Fourth Proportional to 7,031.02, 9,702.42 and 3,887

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Solution

The fourth proportional to 7,031.02, 9,702.42 and 3,887 is: 5,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.02 : 9,702.42 = 3,887 : x
  2. Step 2: Convert to fraction form
    7,031.02/9,702.42 = 3,887/x
  3. Step 3: Cross multiply
    7,031.02x = 9,702.42 × 3,887
  4. Step 4: Simplify right side
    7,031.02x = 37,713,306.54
  5. Step 5: Solve for x
    x = 37,713,306.54/7,031.02
  6. Step 6: Final answer
    x = 5,363.85

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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.