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Finding the Fourth Proportional to 9,261.34, 13,899.78 and 8,677.48

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Solution

The fourth proportional to 9,261.34, 13,899.78 and 8,677.48 is: 13,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.34 : 13,899.78 = 8,677.48 : x
  2. Step 2: Convert to fraction form
    9,261.34/13,899.78 = 8,677.48/x
  3. Step 3: Cross multiply
    9,261.34x = 13,899.78 × 8,677.48
  4. Step 4: Simplify right side
    9,261.34x = 120,615,062.95
  5. Step 5: Solve for x
    x = 120,615,062.95/9,261.34
  6. Step 6: Final answer
    x = 13,023.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.