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Finding the Fourth Proportional to 9,700.14, 14,556.02 and 4,153.49

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Solution

The fourth proportional to 9,700.14, 14,556.02 and 4,153.49 is: 6,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.14 : 14,556.02 = 4,153.49 : x
  2. Step 2: Convert to fraction form
    9,700.14/14,556.02 = 4,153.49/x
  3. Step 3: Cross multiply
    9,700.14x = 14,556.02 × 4,153.49
  4. Step 4: Simplify right side
    9,700.14x = 60,458,189.96
  5. Step 5: Solve for x
    x = 60,458,189.96/9,700.14
  6. Step 6: Final answer
    x = 6,232.71

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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.