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Finding the Fourth Proportional to 7,062.95, 9,743.96 and 4,076.67

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Solution

The fourth proportional to 7,062.95, 9,743.96 and 4,076.67 is: 5,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.95 : 9,743.96 = 4,076.67 : x
  2. Step 2: Convert to fraction form
    7,062.95/9,743.96 = 4,076.67/x
  3. Step 3: Cross multiply
    7,062.95x = 9,743.96 × 4,076.67
  4. Step 4: Simplify right side
    7,062.95x = 39,722,889.03
  5. Step 5: Solve for x
    x = 39,722,889.03/7,062.95
  6. Step 6: Final answer
    x = 5,624.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.