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Finding the Fourth Proportional to 6,269.28, 9,407.28 and 2,805.84

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Solution

The fourth proportional to 6,269.28, 9,407.28 and 2,805.84 is: 4,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.28 : 9,407.28 = 2,805.84 : x
  2. Step 2: Convert to fraction form
    6,269.28/9,407.28 = 2,805.84/x
  3. Step 3: Cross multiply
    6,269.28x = 9,407.28 × 2,805.84
  4. Step 4: Simplify right side
    6,269.28x = 26,395,322.52
  5. Step 5: Solve for x
    x = 26,395,322.52/6,269.28
  6. Step 6: Final answer
    x = 4,210.26

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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.