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Finding the Fourth Proportional to 9,290.24, 13,924.92 and 4,898.24

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Solution

The fourth proportional to 9,290.24, 13,924.92 and 4,898.24 is: 7,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.24 : 13,924.92 = 4,898.24 : x
  2. Step 2: Convert to fraction form
    9,290.24/13,924.92 = 4,898.24/x
  3. Step 3: Cross multiply
    9,290.24x = 13,924.92 × 4,898.24
  4. Step 4: Simplify right side
    9,290.24x = 68,207,600.14
  5. Step 5: Solve for x
    x = 68,207,600.14/9,290.24
  6. Step 6: Final answer
    x = 7,341.86

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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.