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Finding the Fourth Proportional to 6,988.32, 9,644.52 and 4,005.12

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Solution

The fourth proportional to 6,988.32, 9,644.52 and 4,005.12 is: 5,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.32 : 9,644.52 = 4,005.12 : x
  2. Step 2: Convert to fraction form
    6,988.32/9,644.52 = 4,005.12/x
  3. Step 3: Cross multiply
    6,988.32x = 9,644.52 × 4,005.12
  4. Step 4: Simplify right side
    6,988.32x = 38,627,459.94
  5. Step 5: Solve for x
    x = 38,627,459.94/6,988.32
  6. Step 6: Final answer
    x = 5,527.43

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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.