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Finding the Fourth Proportional to 9,608.26, 13,270.32 and 6,458.98

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Solution

The fourth proportional to 9,608.26, 13,270.32 and 6,458.98 is: 8,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.26 : 13,270.32 = 6,458.98 : x
  2. Step 2: Convert to fraction form
    9,608.26/13,270.32 = 6,458.98/x
  3. Step 3: Cross multiply
    9,608.26x = 13,270.32 × 6,458.98
  4. Step 4: Simplify right side
    9,608.26x = 85,712,731.47
  5. Step 5: Solve for x
    x = 85,712,731.47/9,608.26
  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.