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Finding the Fourth Proportional to 9,363.88, 14,041.92 and 3,813.46

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Solution

The fourth proportional to 9,363.88, 14,041.92 and 3,813.46 is: 5,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.88 : 14,041.92 = 3,813.46 : x
  2. Step 2: Convert to fraction form
    9,363.88/14,041.92 = 3,813.46/x
  3. Step 3: Cross multiply
    9,363.88x = 14,041.92 × 3,813.46
  4. Step 4: Simplify right side
    9,363.88x = 53,548,300.24
  5. Step 5: Solve for x
    x = 53,548,300.24/9,363.88
  6. Step 6: Final answer
    x = 5,718.60

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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.