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Finding the Fourth Proportional to 9,909.69, 14,866.47 and 3,669.75

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Solution

The fourth proportional to 9,909.69, 14,866.47 and 3,669.75 is: 5,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.69 : 14,866.47 = 3,669.75 : x
  2. Step 2: Convert to fraction form
    9,909.69/14,866.47 = 3,669.75/x
  3. Step 3: Cross multiply
    9,909.69x = 14,866.47 × 3,669.75
  4. Step 4: Simplify right side
    9,909.69x = 54,556,228.28
  5. Step 5: Solve for x
    x = 54,556,228.28/9,909.69
  6. Step 6: Final answer
    x = 5,505.34

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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.