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Finding the Fourth Proportional to 9,608.25, 13,270.32 and 6,458.97

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Solution

The fourth proportional to 9,608.25, 13,270.32 and 6,458.97 is: 8,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.25 : 13,270.32 = 6,458.97 : x
  2. Step 2: Convert to fraction form
    9,608.25/13,270.32 = 6,458.97/x
  3. Step 3: Cross multiply
    9,608.25x = 13,270.32 × 6,458.97
  4. Step 4: Simplify right side
    9,608.25x = 85,712,598.77
  5. Step 5: Solve for x
    x = 85,712,598.77/9,608.25
  6. Step 6: Final answer
    x = 8,920.73

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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.