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Finding the Fourth Proportional to 9,607.16, 14,414.58 and 3,451.64

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Solution

The fourth proportional to 9,607.16, 14,414.58 and 3,451.64 is: 5,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.16 : 14,414.58 = 3,451.64 : x
  2. Step 2: Convert to fraction form
    9,607.16/14,414.58 = 3,451.64/x
  3. Step 3: Cross multiply
    9,607.16x = 14,414.58 × 3,451.64
  4. Step 4: Simplify right side
    9,607.16x = 49,753,940.91
  5. Step 5: Solve for x
    x = 49,753,940.91/9,607.16
  6. Step 6: Final answer
    x = 5,178.84

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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.