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Finding the Fourth Proportional to 9,542.70, 14,319.27 and 3,699.54

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Solution

The fourth proportional to 9,542.70, 14,319.27 and 3,699.54 is: 5,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.70 : 14,319.27 = 3,699.54 : x
  2. Step 2: Convert to fraction form
    9,542.70/14,319.27 = 3,699.54/x
  3. Step 3: Cross multiply
    9,542.70x = 14,319.27 × 3,699.54
  4. Step 4: Simplify right side
    9,542.70x = 52,974,712.14
  5. Step 5: Solve for x
    x = 52,974,712.14/9,542.70
  6. Step 6: Final answer
    x = 5,551.33

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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.