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Finding the Fourth Proportional to 9,847.74, 13,590.06 and 5,371.65

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Solution

The fourth proportional to 9,847.74, 13,590.06 and 5,371.65 is: 7,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.74 : 13,590.06 = 5,371.65 : x
  2. Step 2: Convert to fraction form
    9,847.74/13,590.06 = 5,371.65/x
  3. Step 3: Cross multiply
    9,847.74x = 13,590.06 × 5,371.65
  4. Step 4: Simplify right side
    9,847.74x = 73,000,950.99
  5. Step 5: Solve for x
    x = 73,000,950.99/9,847.74
  6. Step 6: Final answer
    x = 7,412.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.