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Finding the Fourth Proportional to 6,333.52, 9,490 and 3,860.83

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Solution

The fourth proportional to 6,333.52, 9,490 and 3,860.83 is: 5,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.52 : 9,490 = 3,860.83 : x
  2. Step 2: Convert to fraction form
    6,333.52/9,490 = 3,860.83/x
  3. Step 3: Cross multiply
    6,333.52x = 9,490 × 3,860.83
  4. Step 4: Simplify right side
    6,333.52x = 36,639,276.70
  5. Step 5: Solve for x
    x = 36,639,276.70/6,333.52
  6. Step 6: Final answer
    x = 5,784.98

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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.