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Finding the Fourth Proportional to 6,910.71, 10,348.65 and 6,278.64

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Solution

The fourth proportional to 6,910.71, 10,348.65 and 6,278.64 is: 9,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.71 : 10,348.65 = 6,278.64 : x
  2. Step 2: Convert to fraction form
    6,910.71/10,348.65 = 6,278.64/x
  3. Step 3: Cross multiply
    6,910.71x = 10,348.65 × 6,278.64
  4. Step 4: Simplify right side
    6,910.71x = 64,975,447.84
  5. Step 5: Solve for x
    x = 64,975,447.84/6,910.71
  6. Step 6: Final answer
    x = 9,402.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.