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Finding the Fourth Proportional to 9,133.71, 13,700.52 and 2,208.21

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Solution

The fourth proportional to 9,133.71, 13,700.52 and 2,208.21 is: 3,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.71 : 13,700.52 = 2,208.21 : x
  2. Step 2: Convert to fraction form
    9,133.71/13,700.52 = 2,208.21/x
  3. Step 3: Cross multiply
    9,133.71x = 13,700.52 × 2,208.21
  4. Step 4: Simplify right side
    9,133.71x = 30,253,625.27
  5. Step 5: Solve for x
    x = 30,253,625.27/9,133.71
  6. Step 6: Final answer
    x = 3,312.30

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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.