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Finding the Fourth Proportional to 6,534.42, 9,787.77 and 3,027.30

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Solution

The fourth proportional to 6,534.42, 9,787.77 and 3,027.30 is: 4,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.42 : 9,787.77 = 3,027.30 : x
  2. Step 2: Convert to fraction form
    6,534.42/9,787.77 = 3,027.30/x
  3. Step 3: Cross multiply
    6,534.42x = 9,787.77 × 3,027.30
  4. Step 4: Simplify right side
    6,534.42x = 29,630,516.12
  5. Step 5: Solve for x
    x = 29,630,516.12/6,534.42
  6. Step 6: Final answer
    x = 4,534.53

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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.