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Finding the Fourth Proportional to 6,292.02, 9,436.20 and 1,909.50

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Solution

The fourth proportional to 6,292.02, 9,436.20 and 1,909.50 is: 2,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.02 : 9,436.20 = 1,909.50 : x
  2. Step 2: Convert to fraction form
    6,292.02/9,436.20 = 1,909.50/x
  3. Step 3: Cross multiply
    6,292.02x = 9,436.20 × 1,909.50
  4. Step 4: Simplify right side
    6,292.02x = 18,018,423.90
  5. Step 5: Solve for x
    x = 18,018,423.90/6,292.02
  6. Step 6: Final answer
    x = 2,863.69

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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.