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Finding the Fourth Proportional to 7,013.80, 9,682.23 and 4,496.86

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Solution

The fourth proportional to 7,013.80, 9,682.23 and 4,496.86 is: 6,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.80 : 9,682.23 = 4,496.86 : x
  2. Step 2: Convert to fraction form
    7,013.80/9,682.23 = 4,496.86/x
  3. Step 3: Cross multiply
    7,013.80x = 9,682.23 × 4,496.86
  4. Step 4: Simplify right side
    7,013.80x = 43,539,632.80
  5. Step 5: Solve for x
    x = 43,539,632.80/7,013.80
  6. Step 6: Final answer
    x = 6,207.71

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