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Finding the Fourth Proportional to 9,770.14, 14,630.37 and 7,126.84

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Solution

The fourth proportional to 9,770.14, 14,630.37 and 7,126.84 is: 10,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.14 : 14,630.37 = 7,126.84 : x
  2. Step 2: Convert to fraction form
    9,770.14/14,630.37 = 7,126.84/x
  3. Step 3: Cross multiply
    9,770.14x = 14,630.37 × 7,126.84
  4. Step 4: Simplify right side
    9,770.14x = 104,268,306.13
  5. Step 5: Solve for x
    x = 104,268,306.13/9,770.14
  6. Step 6: Final answer
    x = 10,672.14

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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.