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Finding the Fourth Proportional to 9,204.87, 13,807.75 and 2,632.02

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Solution

The fourth proportional to 9,204.87, 13,807.75 and 2,632.02 is: 3,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.87 : 13,807.75 = 2,632.02 : x
  2. Step 2: Convert to fraction form
    9,204.87/13,807.75 = 2,632.02/x
  3. Step 3: Cross multiply
    9,204.87x = 13,807.75 × 2,632.02
  4. Step 4: Simplify right side
    9,204.87x = 36,342,274.16
  5. Step 5: Solve for x
    x = 36,342,274.16/9,204.87
  6. Step 6: Final answer
    x = 3,948.16

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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.