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Finding the Fourth Proportional to 6,403.31, 9,608.61 and 5,112.98

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Solution

The fourth proportional to 6,403.31, 9,608.61 and 5,112.98 is: 7,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.31 : 9,608.61 = 5,112.98 : x
  2. Step 2: Convert to fraction form
    6,403.31/9,608.61 = 5,112.98/x
  3. Step 3: Cross multiply
    6,403.31x = 9,608.61 × 5,112.98
  4. Step 4: Simplify right side
    6,403.31x = 49,128,630.76
  5. Step 5: Solve for x
    x = 49,128,630.76/6,403.31
  6. Step 6: Final answer
    x = 7,672.38

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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.