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Finding the Fourth Proportional to 9,133.68, 13,700.46 and 2,208.18

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Solution

The fourth proportional to 9,133.68, 13,700.46 and 2,208.18 is: 3,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.68 : 13,700.46 = 2,208.18 : x
  2. Step 2: Convert to fraction form
    9,133.68/13,700.46 = 2,208.18/x
  3. Step 3: Cross multiply
    9,133.68x = 13,700.46 × 2,208.18
  4. Step 4: Simplify right side
    9,133.68x = 30,253,081.76
  5. Step 5: Solve for x
    x = 30,253,081.76/9,133.68
  6. Step 6: Final answer
    x = 3,312.26

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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.