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Finding the Fourth Proportional to 6,209.76, 9,316.01 and 2,921.06

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Solution

The fourth proportional to 6,209.76, 9,316.01 and 2,921.06 is: 4,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.76 : 9,316.01 = 2,921.06 : x
  2. Step 2: Convert to fraction form
    6,209.76/9,316.01 = 2,921.06/x
  3. Step 3: Cross multiply
    6,209.76x = 9,316.01 × 2,921.06
  4. Step 4: Simplify right side
    6,209.76x = 27,212,654.76
  5. Step 5: Solve for x
    x = 27,212,654.76/6,209.76
  6. Step 6: Final answer
    x = 4,382.24

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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.