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Finding the Fourth Proportional to 9,241.84, 13,869.04 and 4,311.98

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Solution

The fourth proportional to 9,241.84, 13,869.04 and 4,311.98 is: 6,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.84 : 13,869.04 = 4,311.98 : x
  2. Step 2: Convert to fraction form
    9,241.84/13,869.04 = 4,311.98/x
  3. Step 3: Cross multiply
    9,241.84x = 13,869.04 × 4,311.98
  4. Step 4: Simplify right side
    9,241.84x = 59,803,023.10
  5. Step 5: Solve for x
    x = 59,803,023.10/9,241.84
  6. Step 6: Final answer
    x = 6,470.90

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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.