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Finding the Fourth Proportional to 9,637.90, 14,413.65 and 8,082.70

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Solution

The fourth proportional to 9,637.90, 14,413.65 and 8,082.70 is: 12,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.90 : 14,413.65 = 8,082.70 : x
  2. Step 2: Convert to fraction form
    9,637.90/14,413.65 = 8,082.70/x
  3. Step 3: Cross multiply
    9,637.90x = 14,413.65 × 8,082.70
  4. Step 4: Simplify right side
    9,637.90x = 116,501,208.86
  5. Step 5: Solve for x
    x = 116,501,208.86/9,637.90
  6. Step 6: Final answer
    x = 12,087.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.