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Finding the Fourth Proportional to 6,102.12, 9,154.43 and 3,470.84

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Solution

The fourth proportional to 6,102.12, 9,154.43 and 3,470.84 is: 5,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.12 : 9,154.43 = 3,470.84 : x
  2. Step 2: Convert to fraction form
    6,102.12/9,154.43 = 3,470.84/x
  3. Step 3: Cross multiply
    6,102.12x = 9,154.43 × 3,470.84
  4. Step 4: Simplify right side
    6,102.12x = 31,773,561.82
  5. Step 5: Solve for x
    x = 31,773,561.82/6,102.12
  6. Step 6: Final answer
    x = 5,206.97

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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.