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Finding the Fourth Proportional to 8,434.78, 12,652.34 and 2,894.49

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Solution

The fourth proportional to 8,434.78, 12,652.34 and 2,894.49 is: 4,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.78 : 12,652.34 = 2,894.49 : x
  2. Step 2: Convert to fraction form
    8,434.78/12,652.34 = 2,894.49/x
  3. Step 3: Cross multiply
    8,434.78x = 12,652.34 × 2,894.49
  4. Step 4: Simplify right side
    8,434.78x = 36,622,071.61
  5. Step 5: Solve for x
    x = 36,622,071.61/8,434.78
  6. Step 6: Final answer
    x = 4,341.79

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