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Finding the Fourth Proportional to 9,617.67, 13,270.10 and 6,632.55

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Solution

The fourth proportional to 9,617.67, 13,270.10 and 6,632.55 is: 9,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.67 : 13,270.10 = 6,632.55 : x
  2. Step 2: Convert to fraction form
    9,617.67/13,270.10 = 6,632.55/x
  3. Step 3: Cross multiply
    9,617.67x = 13,270.10 × 6,632.55
  4. Step 4: Simplify right side
    9,617.67x = 88,014,568.59
  5. Step 5: Solve for x
    x = 88,014,568.59/9,617.67
  6. Step 6: Final answer
    x = 9,151.34

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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.