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Finding the Fourth Proportional to 6,077.42, 9,121.14 and 4,699.16

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Solution

The fourth proportional to 6,077.42, 9,121.14 and 4,699.16 is: 7,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.42 : 9,121.14 = 4,699.16 : x
  2. Step 2: Convert to fraction form
    6,077.42/9,121.14 = 4,699.16/x
  3. Step 3: Cross multiply
    6,077.42x = 9,121.14 × 4,699.16
  4. Step 4: Simplify right side
    6,077.42x = 42,861,679.01
  5. Step 5: Solve for x
    x = 42,861,679.01/6,077.42
  6. Step 6: Final answer
    x = 7,052.61

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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.