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Finding the Fourth Proportional to 9,906.47, 14,857.31 and 2,884.58

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Solution

The fourth proportional to 9,906.47, 14,857.31 and 2,884.58 is: 4,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.47 : 14,857.31 = 2,884.58 : x
  2. Step 2: Convert to fraction form
    9,906.47/14,857.31 = 2,884.58/x
  3. Step 3: Cross multiply
    9,906.47x = 14,857.31 × 2,884.58
  4. Step 4: Simplify right side
    9,906.47x = 42,857,032.20
  5. Step 5: Solve for x
    x = 42,857,032.20/9,906.47
  6. Step 6: Final answer
    x = 4,326.17

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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.