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Finding the Fourth Proportional to 9,209.98, 13,816.89 and 3,053.50

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Solution

The fourth proportional to 9,209.98, 13,816.89 and 3,053.50 is: 4,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.98 : 13,816.89 = 3,053.50 : x
  2. Step 2: Convert to fraction form
    9,209.98/13,816.89 = 3,053.50/x
  3. Step 3: Cross multiply
    9,209.98x = 13,816.89 × 3,053.50
  4. Step 4: Simplify right side
    9,209.98x = 42,189,873.62
  5. Step 5: Solve for x
    x = 42,189,873.62/9,209.98
  6. Step 6: Final answer
    x = 4,580.89

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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.