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Finding the Fourth Proportional to 6,103.32, 9,134.92 and 4,634.38

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Solution

The fourth proportional to 6,103.32, 9,134.92 and 4,634.38 is: 6,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.32 : 9,134.92 = 4,634.38 : x
  2. Step 2: Convert to fraction form
    6,103.32/9,134.92 = 4,634.38/x
  3. Step 3: Cross multiply
    6,103.32x = 9,134.92 × 4,634.38
  4. Step 4: Simplify right side
    6,103.32x = 42,334,690.55
  5. Step 5: Solve for x
    x = 42,334,690.55/6,103.32
  6. Step 6: Final answer
    x = 6,936.34

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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.