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Finding the Fourth Proportional to 9,363.54, 14,033.19 and 3,810.42

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Solution

The fourth proportional to 9,363.54, 14,033.19 and 3,810.42 is: 5,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.54 : 14,033.19 = 3,810.42 : x
  2. Step 2: Convert to fraction form
    9,363.54/14,033.19 = 3,810.42/x
  3. Step 3: Cross multiply
    9,363.54x = 14,033.19 × 3,810.42
  4. Step 4: Simplify right side
    9,363.54x = 53,472,347.84
  5. Step 5: Solve for x
    x = 53,472,347.84/9,363.54
  6. Step 6: Final answer
    x = 5,710.70

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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.