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Finding the Fourth Proportional to 6,276.70, 9,409.05 and 2,326.90

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Solution

The fourth proportional to 6,276.70, 9,409.05 and 2,326.90 is: 3,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.70 : 9,409.05 = 2,326.90 : x
  2. Step 2: Convert to fraction form
    6,276.70/9,409.05 = 2,326.90/x
  3. Step 3: Cross multiply
    6,276.70x = 9,409.05 × 2,326.90
  4. Step 4: Simplify right side
    6,276.70x = 21,893,918.45
  5. Step 5: Solve for x
    x = 21,893,918.45/6,276.70
  6. Step 6: Final answer
    x = 3,488.13

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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.