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Finding the Fourth Proportional to 6,159.03, 9,238.49 and 1,542.03

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Solution

The fourth proportional to 6,159.03, 9,238.49 and 1,542.03 is: 2,313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.03 : 9,238.49 = 1,542.03 : x
  2. Step 2: Convert to fraction form
    6,159.03/9,238.49 = 1,542.03/x
  3. Step 3: Cross multiply
    6,159.03x = 9,238.49 × 1,542.03
  4. Step 4: Simplify right side
    6,159.03x = 14,246,021.02
  5. Step 5: Solve for x
    x = 14,246,021.02/6,159.03
  6. Step 6: Final answer
    x = 2,313.03

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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.