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Finding the Fourth Proportional to 9,911.33, 14,866.98 and 3,337.50

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Solution

The fourth proportional to 9,911.33, 14,866.98 and 3,337.50 is: 5,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.33 : 14,866.98 = 3,337.50 : x
  2. Step 2: Convert to fraction form
    9,911.33/14,866.98 = 3,337.50/x
  3. Step 3: Cross multiply
    9,911.33x = 14,866.98 × 3,337.50
  4. Step 4: Simplify right side
    9,911.33x = 49,618,588.99
  5. Step 5: Solve for x
    x = 49,618,588.99/9,911.33
  6. Step 6: Final answer
    x = 5,006.25

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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.