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Finding the Fourth Proportional to 9,131.40, 13,697.10 and 3,285.90

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Solution

The fourth proportional to 9,131.40, 13,697.10 and 3,285.90 is: 4,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.40 : 13,697.10 = 3,285.90 : x
  2. Step 2: Convert to fraction form
    9,131.40/13,697.10 = 3,285.90/x
  3. Step 3: Cross multiply
    9,131.40x = 13,697.10 × 3,285.90
  4. Step 4: Simplify right side
    9,131.40x = 45,007,300.89
  5. Step 5: Solve for x
    x = 45,007,300.89/9,131.40
  6. Step 6: Final answer
    x = 4,928.85

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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.