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Finding the Fourth Proportional to 6,101.59, 9,135.09 and 4,015.32

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Solution

The fourth proportional to 6,101.59, 9,135.09 and 4,015.32 is: 6,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.59 : 9,135.09 = 4,015.32 : x
  2. Step 2: Convert to fraction form
    6,101.59/9,135.09 = 4,015.32/x
  3. Step 3: Cross multiply
    6,101.59x = 9,135.09 × 4,015.32
  4. Step 4: Simplify right side
    6,101.59x = 36,680,309.58
  5. Step 5: Solve for x
    x = 36,680,309.58/6,101.59
  6. Step 6: Final answer
    x = 6,011.60

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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.