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Finding the Fourth Proportional to 9,904.15, 14,857.89 and 3,664.18

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Solution

The fourth proportional to 9,904.15, 14,857.89 and 3,664.18 is: 5,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.15 : 14,857.89 = 3,664.18 : x
  2. Step 2: Convert to fraction form
    9,904.15/14,857.89 = 3,664.18/x
  3. Step 3: Cross multiply
    9,904.15x = 14,857.89 × 3,664.18
  4. Step 4: Simplify right side
    9,904.15x = 54,441,983.38
  5. Step 5: Solve for x
    x = 54,441,983.38/9,904.15
  6. Step 6: Final answer
    x = 5,496.89

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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.