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Finding the Fourth Proportional to 9,204.68, 12,701.86 and 5,427.67

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Solution

The fourth proportional to 9,204.68, 12,701.86 and 5,427.67 is: 7,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.68 : 12,701.86 = 5,427.67 : x
  2. Step 2: Convert to fraction form
    9,204.68/12,701.86 = 5,427.67/x
  3. Step 3: Cross multiply
    9,204.68x = 12,701.86 × 5,427.67
  4. Step 4: Simplify right side
    9,204.68x = 68,941,413.82
  5. Step 5: Solve for x
    x = 68,941,413.82/9,204.68
  6. Step 6: Final answer
    x = 7,489.82

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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.