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Finding the Fourth Proportional to 9,352.30, 14,029.92 and 3,509.34

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Solution

The fourth proportional to 9,352.30, 14,029.92 and 3,509.34 is: 5,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.30 : 14,029.92 = 3,509.34 : x
  2. Step 2: Convert to fraction form
    9,352.30/14,029.92 = 3,509.34/x
  3. Step 3: Cross multiply
    9,352.30x = 14,029.92 × 3,509.34
  4. Step 4: Simplify right side
    9,352.30x = 49,235,759.45
  5. Step 5: Solve for x
    x = 49,235,759.45/9,352.30
  6. Step 6: Final answer
    x = 5,264.56

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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.