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Finding the Fourth Proportional to 6,432.09, 9,648.84 and 2,048.53

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Solution

The fourth proportional to 6,432.09, 9,648.84 and 2,048.53 is: 3,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.09 : 9,648.84 = 2,048.53 : x
  2. Step 2: Convert to fraction form
    6,432.09/9,648.84 = 2,048.53/x
  3. Step 3: Cross multiply
    6,432.09x = 9,648.84 × 2,048.53
  4. Step 4: Simplify right side
    6,432.09x = 19,765,879.72
  5. Step 5: Solve for x
    x = 19,765,879.72/6,432.09
  6. Step 6: Final answer
    x = 3,073.01

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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.