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Finding the Fourth Proportional to 9,206.76, 13,807.82 and 2,632.98

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Solution

The fourth proportional to 9,206.76, 13,807.82 and 2,632.98 is: 3,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.76 : 13,807.82 = 2,632.98 : x
  2. Step 2: Convert to fraction form
    9,206.76/13,807.82 = 2,632.98/x
  3. Step 3: Cross multiply
    9,206.76x = 13,807.82 × 2,632.98
  4. Step 4: Simplify right side
    9,206.76x = 36,355,713.90
  5. Step 5: Solve for x
    x = 36,355,713.90/9,206.76
  6. Step 6: Final answer
    x = 3,948.81

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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.