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Finding the Fourth Proportional to 6,432.33, 9,646.56 and 2,734.50

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Solution

The fourth proportional to 6,432.33, 9,646.56 and 2,734.50 is: 4,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.33 : 9,646.56 = 2,734.50 : x
  2. Step 2: Convert to fraction form
    6,432.33/9,646.56 = 2,734.50/x
  3. Step 3: Cross multiply
    6,432.33x = 9,646.56 × 2,734.50
  4. Step 4: Simplify right side
    6,432.33x = 26,378,518.32
  5. Step 5: Solve for x
    x = 26,378,518.32/6,432.33
  6. Step 6: Final answer
    x = 4,100.93

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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.