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Finding the Fourth Proportional to 6,185.68, 9,282.12 and 2,292.76

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Solution

The fourth proportional to 6,185.68, 9,282.12 and 2,292.76 is: 3,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.68 : 9,282.12 = 2,292.76 : x
  2. Step 2: Convert to fraction form
    6,185.68/9,282.12 = 2,292.76/x
  3. Step 3: Cross multiply
    6,185.68x = 9,282.12 × 2,292.76
  4. Step 4: Simplify right side
    6,185.68x = 21,281,673.45
  5. Step 5: Solve for x
    x = 21,281,673.45/6,185.68
  6. Step 6: Final answer
    x = 3,440.47

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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.