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Finding the Fourth Proportional to 9,329.88, 13,997.28 and 3,407.30

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Solution

The fourth proportional to 9,329.88, 13,997.28 and 3,407.30 is: 5,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.88 : 13,997.28 = 3,407.30 : x
  2. Step 2: Convert to fraction form
    9,329.88/13,997.28 = 3,407.30/x
  3. Step 3: Cross multiply
    9,329.88x = 13,997.28 × 3,407.30
  4. Step 4: Simplify right side
    9,329.88x = 47,692,932.14
  5. Step 5: Solve for x
    x = 47,692,932.14/9,329.88
  6. Step 6: Final answer
    x = 5,111.85

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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.