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Finding the Fourth Proportional to 9,599.91, 14,394.44 and 3,974.40

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Solution

The fourth proportional to 9,599.91, 14,394.44 and 3,974.40 is: 5,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.91 : 14,394.44 = 3,974.40 : x
  2. Step 2: Convert to fraction form
    9,599.91/14,394.44 = 3,974.40/x
  3. Step 3: Cross multiply
    9,599.91x = 14,394.44 × 3,974.40
  4. Step 4: Simplify right side
    9,599.91x = 57,209,170.49
  5. Step 5: Solve for x
    x = 57,209,170.49/9,599.91
  6. Step 6: Final answer
    x = 5,959.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.