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Finding the Fourth Proportional to 10,402.01, 14,354.02 and 6,423.19

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Solution

The fourth proportional to 10,402.01, 14,354.02 and 6,423.19 is: 8,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.01 : 14,354.02 = 6,423.19 : x
  2. Step 2: Convert to fraction form
    10,402.01/14,354.02 = 6,423.19/x
  3. Step 3: Cross multiply
    10,402.01x = 14,354.02 × 6,423.19
  4. Step 4: Simplify right side
    10,402.01x = 92,198,561.84
  5. Step 5: Solve for x
    x = 92,198,561.84/10,402.01
  6. Step 6: Final answer
    x = 8,863.54

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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.