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Finding the Fourth Proportional to 6,401.94, 8,838.16 and 4,423.14

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Solution

The fourth proportional to 6,401.94, 8,838.16 and 4,423.14 is: 6,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.94 : 8,838.16 = 4,423.14 : x
  2. Step 2: Convert to fraction form
    6,401.94/8,838.16 = 4,423.14/x
  3. Step 3: Cross multiply
    6,401.94x = 8,838.16 × 4,423.14
  4. Step 4: Simplify right side
    6,401.94x = 39,092,419.02
  5. Step 5: Solve for x
    x = 39,092,419.02/6,401.94
  6. Step 6: Final answer
    x = 6,106.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.