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Finding the Fourth Proportional to 9,698.48, 14,542.68 and 3,456.08

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Solution

The fourth proportional to 9,698.48, 14,542.68 and 3,456.08 is: 5,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.48 : 14,542.68 = 3,456.08 : x
  2. Step 2: Convert to fraction form
    9,698.48/14,542.68 = 3,456.08/x
  3. Step 3: Cross multiply
    9,698.48x = 14,542.68 × 3,456.08
  4. Step 4: Simplify right side
    9,698.48x = 50,260,665.49
  5. Step 5: Solve for x
    x = 50,260,665.49/9,698.48
  6. Step 6: Final answer
    x = 5,182.32

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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.