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Finding the Fourth Proportional to 9,385.95, 14,080.92 and 3,542.61

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Solution

The fourth proportional to 9,385.95, 14,080.92 and 3,542.61 is: 5,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.95 : 14,080.92 = 3,542.61 : x
  2. Step 2: Convert to fraction form
    9,385.95/14,080.92 = 3,542.61/x
  3. Step 3: Cross multiply
    9,385.95x = 14,080.92 × 3,542.61
  4. Step 4: Simplify right side
    9,385.95x = 49,883,208.00
  5. Step 5: Solve for x
    x = 49,883,208.00/9,385.95
  6. Step 6: Final answer
    x = 5,314.67

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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.