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Finding the Fourth Proportional to 9,510.31, 13,126.34 and 5,978.30

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Solution

The fourth proportional to 9,510.31, 13,126.34 and 5,978.30 is: 8,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.31 : 13,126.34 = 5,978.30 : x
  2. Step 2: Convert to fraction form
    9,510.31/13,126.34 = 5,978.30/x
  3. Step 3: Cross multiply
    9,510.31x = 13,126.34 × 5,978.30
  4. Step 4: Simplify right side
    9,510.31x = 78,473,168.53
  5. Step 5: Solve for x
    x = 78,473,168.53/9,510.31
  6. Step 6: Final answer
    x = 8,251.38

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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.