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Finding the Fourth Proportional to 7,064.64, 9,749 and 3,877.88

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Solution

The fourth proportional to 7,064.64, 9,749 and 3,877.88 is: 5,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.64 : 9,749 = 3,877.88 : x
  2. Step 2: Convert to fraction form
    7,064.64/9,749 = 3,877.88/x
  3. Step 3: Cross multiply
    7,064.64x = 9,749 × 3,877.88
  4. Step 4: Simplify right side
    7,064.64x = 37,805,452.12
  5. Step 5: Solve for x
    x = 37,805,452.12/7,064.64
  6. Step 6: Final answer
    x = 5,351.36

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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.