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Finding the Fourth Proportional to 9,884.97, 14,830.04 and 2,959.47

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Solution

The fourth proportional to 9,884.97, 14,830.04 and 2,959.47 is: 4,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.97 : 14,830.04 = 2,959.47 : x
  2. Step 2: Convert to fraction form
    9,884.97/14,830.04 = 2,959.47/x
  3. Step 3: Cross multiply
    9,884.97x = 14,830.04 × 2,959.47
  4. Step 4: Simplify right side
    9,884.97x = 43,889,058.48
  5. Step 5: Solve for x
    x = 43,889,058.48/9,884.97
  6. Step 6: Final answer
    x = 4,439.98

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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.