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Finding the Fourth Proportional to 9,605.69, 13,261.07 and 6,637.47

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Solution

The fourth proportional to 9,605.69, 13,261.07 and 6,637.47 is: 9,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.69 : 13,261.07 = 6,637.47 : x
  2. Step 2: Convert to fraction form
    9,605.69/13,261.07 = 6,637.47/x
  3. Step 3: Cross multiply
    9,605.69x = 13,261.07 × 6,637.47
  4. Step 4: Simplify right side
    9,605.69x = 88,019,921.11
  5. Step 5: Solve for x
    x = 88,019,921.11/9,605.69
  6. Step 6: Final answer
    x = 9,163.32

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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.