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Finding the Fourth Proportional to 9,566.91, 14,350.37 and 2,998.62

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Solution

The fourth proportional to 9,566.91, 14,350.37 and 2,998.62 is: 4,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.91 : 14,350.37 = 2,998.62 : x
  2. Step 2: Convert to fraction form
    9,566.91/14,350.37 = 2,998.62/x
  3. Step 3: Cross multiply
    9,566.91x = 14,350.37 × 2,998.62
  4. Step 4: Simplify right side
    9,566.91x = 43,031,291.50
  5. Step 5: Solve for x
    x = 43,031,291.50/9,566.91
  6. Step 6: Final answer
    x = 4,497.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.