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Finding the Fourth Proportional to 9,338, 14,002.44 and 4,403.48

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Solution

The fourth proportional to 9,338, 14,002.44 and 4,403.48 is: 6,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338 : 14,002.44 = 4,403.48 : x
  2. Step 2: Convert to fraction form
    9,338/14,002.44 = 4,403.48/x
  3. Step 3: Cross multiply
    9,338x = 14,002.44 × 4,403.48
  4. Step 4: Simplify right side
    9,338x = 61,659,464.49
  5. Step 5: Solve for x
    x = 61,659,464.49/9,338
  6. Step 6: Final answer
    x = 6,603.07

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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.