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Finding the Fourth Proportional to 6,101.34, 9,134.72 and 4,015.07

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Solution

The fourth proportional to 6,101.34, 9,134.72 and 4,015.07 is: 6,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.34 : 9,134.72 = 4,015.07 : x
  2. Step 2: Convert to fraction form
    6,101.34/9,134.72 = 4,015.07/x
  3. Step 3: Cross multiply
    6,101.34x = 9,134.72 × 4,015.07
  4. Step 4: Simplify right side
    6,101.34x = 36,676,520.16
  5. Step 5: Solve for x
    x = 36,676,520.16/6,101.34
  6. Step 6: Final answer
    x = 6,011.22

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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.