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Finding the Fourth Proportional to 9,519.57, 14,260.98 and 5,346.90

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Solution

The fourth proportional to 9,519.57, 14,260.98 and 5,346.90 is: 8,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.57 : 14,260.98 = 5,346.90 : x
  2. Step 2: Convert to fraction form
    9,519.57/14,260.98 = 5,346.90/x
  3. Step 3: Cross multiply
    9,519.57x = 14,260.98 × 5,346.90
  4. Step 4: Simplify right side
    9,519.57x = 76,252,033.96
  5. Step 5: Solve for x
    x = 76,252,033.96/9,519.57
  6. Step 6: Final answer
    x = 8,010.03

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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.