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Finding the Fourth Proportional to 9,770.39, 14,622.24 and 6,210.71

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Solution

The fourth proportional to 9,770.39, 14,622.24 and 6,210.71 is: 9,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.39 : 14,622.24 = 6,210.71 : x
  2. Step 2: Convert to fraction form
    9,770.39/14,622.24 = 6,210.71/x
  3. Step 3: Cross multiply
    9,770.39x = 14,622.24 × 6,210.71
  4. Step 4: Simplify right side
    9,770.39x = 90,814,419.08
  5. Step 5: Solve for x
    x = 90,814,419.08/9,770.39
  6. Step 6: Final answer
    x = 9,294.87

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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.