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Finding the Fourth Proportional to 28,959.12, 43,432.20 and 9,234

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Solution

The fourth proportional to 28,959.12, 43,432.20 and 9,234 is: 13,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,959.12 : 43,432.20 = 9,234 : x
  2. Step 2: Convert to fraction form
    28,959.12/43,432.20 = 9,234/x
  3. Step 3: Cross multiply
    28,959.12x = 43,432.20 × 9,234
  4. Step 4: Simplify right side
    28,959.12x = 401,052,934.80
  5. Step 5: Solve for x
    x = 401,052,934.80/28,959.12
  6. Step 6: Final answer
    x = 13,848.93

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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.