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Finding the Fourth Proportional to 8,432.34, 11,632.12 and 6,840.84

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Solution

The fourth proportional to 8,432.34, 11,632.12 and 6,840.84 is: 9,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.34 : 11,632.12 = 6,840.84 : x
  2. Step 2: Convert to fraction form
    8,432.34/11,632.12 = 6,840.84/x
  3. Step 3: Cross multiply
    8,432.34x = 11,632.12 × 6,840.84
  4. Step 4: Simplify right side
    8,432.34x = 79,573,471.78
  5. Step 5: Solve for x
    x = 79,573,471.78/8,432.34
  6. Step 6: Final answer
    x = 9,436.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.