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Finding the Fourth Proportional to 9,298.77, 13,933.29 and 8,354.61

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Solution

The fourth proportional to 9,298.77, 13,933.29 and 8,354.61 is: 12,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.77 : 13,933.29 = 8,354.61 : x
  2. Step 2: Convert to fraction form
    9,298.77/13,933.29 = 8,354.61/x
  3. Step 3: Cross multiply
    9,298.77x = 13,933.29 × 8,354.61
  4. Step 4: Simplify right side
    9,298.77x = 116,407,203.97
  5. Step 5: Solve for x
    x = 116,407,203.97/9,298.77
  6. Step 6: Final answer
    x = 12,518.56

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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.