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Finding the Fourth Proportional to 6,849.79, 9,456.78 and 4,496.05

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Solution

The fourth proportional to 6,849.79, 9,456.78 and 4,496.05 is: 6,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.79 : 9,456.78 = 4,496.05 : x
  2. Step 2: Convert to fraction form
    6,849.79/9,456.78 = 4,496.05/x
  3. Step 3: Cross multiply
    6,849.79x = 9,456.78 × 4,496.05
  4. Step 4: Simplify right side
    6,849.79x = 42,518,155.72
  5. Step 5: Solve for x
    x = 42,518,155.72/6,849.79
  6. Step 6: Final answer
    x = 6,207.22

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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.