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Finding the Fourth Proportional to 6,066.37, 9,096.72 and 4,218.40

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Solution

The fourth proportional to 6,066.37, 9,096.72 and 4,218.40 is: 6,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.37 : 9,096.72 = 4,218.40 : x
  2. Step 2: Convert to fraction form
    6,066.37/9,096.72 = 4,218.40/x
  3. Step 3: Cross multiply
    6,066.37x = 9,096.72 × 4,218.40
  4. Step 4: Simplify right side
    6,066.37x = 38,373,603.65
  5. Step 5: Solve for x
    x = 38,373,603.65/6,066.37
  6. Step 6: Final answer
    x = 6,325.63

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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.