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Finding the Fourth Proportional to 9,603.63, 13,249.97 and 7,580.66

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Solution

The fourth proportional to 9,603.63, 13,249.97 and 7,580.66 is: 10,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.63 : 13,249.97 = 7,580.66 : x
  2. Step 2: Convert to fraction form
    9,603.63/13,249.97 = 7,580.66/x
  3. Step 3: Cross multiply
    9,603.63x = 13,249.97 × 7,580.66
  4. Step 4: Simplify right side
    9,603.63x = 100,443,413.43
  5. Step 5: Solve for x
    x = 100,443,413.43/9,603.63
  6. Step 6: Final answer
    x = 10,458.90

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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.