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Finding the Fourth Proportional to 9,023.86, 13,539.84 and 5,736.10

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Solution

The fourth proportional to 9,023.86, 13,539.84 and 5,736.10 is: 8,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.86 : 13,539.84 = 5,736.10 : x
  2. Step 2: Convert to fraction form
    9,023.86/13,539.84 = 5,736.10/x
  3. Step 3: Cross multiply
    9,023.86x = 13,539.84 × 5,736.10
  4. Step 4: Simplify right side
    9,023.86x = 77,665,876.22
  5. Step 5: Solve for x
    x = 77,665,876.22/9,023.86
  6. Step 6: Final answer
    x = 8,606.72

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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.