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Finding the Fourth Proportional to 6,333.80, 9,497.84 and 3,703.84

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Solution

The fourth proportional to 6,333.80, 9,497.84 and 3,703.84 is: 5,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.80 : 9,497.84 = 3,703.84 : x
  2. Step 2: Convert to fraction form
    6,333.80/9,497.84 = 3,703.84/x
  3. Step 3: Cross multiply
    6,333.80x = 9,497.84 × 3,703.84
  4. Step 4: Simplify right side
    6,333.80x = 35,178,479.71
  5. Step 5: Solve for x
    x = 35,178,479.71/6,333.80
  6. Step 6: Final answer
    x = 5,554.09

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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.