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Finding the Fourth Proportional to 6,101.84, 9,135.47 and 4,015.57

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Solution

The fourth proportional to 6,101.84, 9,135.47 and 4,015.57 is: 6,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.84 : 9,135.47 = 4,015.57 : x
  2. Step 2: Convert to fraction form
    6,101.84/9,135.47 = 4,015.57/x
  3. Step 3: Cross multiply
    6,101.84x = 9,135.47 × 4,015.57
  4. Step 4: Simplify right side
    6,101.84x = 36,684,099.19
  5. Step 5: Solve for x
    x = 36,684,099.19/6,101.84
  6. Step 6: Final answer
    x = 6,011.97

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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.