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Finding the Fourth Proportional to 10,420.20, 14,381.02 and 6,643.50

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Solution

The fourth proportional to 10,420.20, 14,381.02 and 6,643.50 is: 9,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.20 : 14,381.02 = 6,643.50 : x
  2. Step 2: Convert to fraction form
    10,420.20/14,381.02 = 6,643.50/x
  3. Step 3: Cross multiply
    10,420.20x = 14,381.02 × 6,643.50
  4. Step 4: Simplify right side
    10,420.20x = 95,540,306.37
  5. Step 5: Solve for x
    x = 95,540,306.37/10,420.20
  6. Step 6: Final answer
    x = 9,168.76

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