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Finding the Fourth Proportional to 6,542.06, 9,024.93 and 4,023.14

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Solution

The fourth proportional to 6,542.06, 9,024.93 and 4,023.14 is: 5,550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.06 : 9,024.93 = 4,023.14 : x
  2. Step 2: Convert to fraction form
    6,542.06/9,024.93 = 4,023.14/x
  3. Step 3: Cross multiply
    6,542.06x = 9,024.93 × 4,023.14
  4. Step 4: Simplify right side
    6,542.06x = 36,308,511.76
  5. Step 5: Solve for x
    x = 36,308,511.76/6,542.06
  6. Step 6: Final answer
    x = 5,550.02

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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.