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Finding the Fourth Proportional to 9,498.87, 14,249.67 and 2,924.20

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Solution

The fourth proportional to 9,498.87, 14,249.67 and 2,924.20 is: 4,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.87 : 14,249.67 = 2,924.20 : x
  2. Step 2: Convert to fraction form
    9,498.87/14,249.67 = 2,924.20/x
  3. Step 3: Cross multiply
    9,498.87x = 14,249.67 × 2,924.20
  4. Step 4: Simplify right side
    9,498.87x = 41,668,908.31
  5. Step 5: Solve for x
    x = 41,668,908.31/9,498.87
  6. Step 6: Final answer
    x = 4,386.72

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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.