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Finding the Fourth Proportional to 9,014.27, 12,432.84 and 7,757.45

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Solution

The fourth proportional to 9,014.27, 12,432.84 and 7,757.45 is: 10,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.27 : 12,432.84 = 7,757.45 : x
  2. Step 2: Convert to fraction form
    9,014.27/12,432.84 = 7,757.45/x
  3. Step 3: Cross multiply
    9,014.27x = 12,432.84 × 7,757.45
  4. Step 4: Simplify right side
    9,014.27x = 96,447,134.66
  5. Step 5: Solve for x
    x = 96,447,134.66/9,014.27
  6. Step 6: Final answer
    x = 10,699.38

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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.