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Finding the Fourth Proportional to 9,590.28, 13,238.01 and 5,811.90

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Solution

The fourth proportional to 9,590.28, 13,238.01 and 5,811.90 is: 8,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.28 : 13,238.01 = 5,811.90 : x
  2. Step 2: Convert to fraction form
    9,590.28/13,238.01 = 5,811.90/x
  3. Step 3: Cross multiply
    9,590.28x = 13,238.01 × 5,811.90
  4. Step 4: Simplify right side
    9,590.28x = 76,937,990.32
  5. Step 5: Solve for x
    x = 76,937,990.32/9,590.28
  6. Step 6: Final answer
    x = 8,022.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.