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Finding the Fourth Proportional to 9,909.65, 14,865.41 and 3,586.11

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Solution

The fourth proportional to 9,909.65, 14,865.41 and 3,586.11 is: 5,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.65 : 14,865.41 = 3,586.11 : x
  2. Step 2: Convert to fraction form
    9,909.65/14,865.41 = 3,586.11/x
  3. Step 3: Cross multiply
    9,909.65x = 14,865.41 × 3,586.11
  4. Step 4: Simplify right side
    9,909.65x = 53,308,995.46
  5. Step 5: Solve for x
    x = 53,308,995.46/9,909.65
  6. Step 6: Final answer
    x = 5,379.50

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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.