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Finding the Fourth Proportional to 9,816.54, 14,684.31 and 6,301.14

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Solution

The fourth proportional to 9,816.54, 14,684.31 and 6,301.14 is: 9,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.54 : 14,684.31 = 6,301.14 : x
  2. Step 2: Convert to fraction form
    9,816.54/14,684.31 = 6,301.14/x
  3. Step 3: Cross multiply
    9,816.54x = 14,684.31 × 6,301.14
  4. Step 4: Simplify right side
    9,816.54x = 92,527,893.11
  5. Step 5: Solve for x
    x = 92,527,893.11/9,816.54
  6. Step 6: Final answer
    x = 9,425.71

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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.