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Finding the Fourth Proportional to 7,031.12, 9,702.78 and 3,887.24

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Solution

The fourth proportional to 7,031.12, 9,702.78 and 3,887.24 is: 5,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.12 : 9,702.78 = 3,887.24 : x
  2. Step 2: Convert to fraction form
    7,031.12/9,702.78 = 3,887.24/x
  3. Step 3: Cross multiply
    7,031.12x = 9,702.78 × 3,887.24
  4. Step 4: Simplify right side
    7,031.12x = 37,717,034.53
  5. Step 5: Solve for x
    x = 37,717,034.53/7,031.12
  6. Step 6: Final answer
    x = 5,364.30

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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.