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Finding the Fourth Proportional to 6,109.84, 8,423.82 and 4,989.64

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Solution

The fourth proportional to 6,109.84, 8,423.82 and 4,989.64 is: 6,879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.84 : 8,423.82 = 4,989.64 : x
  2. Step 2: Convert to fraction form
    6,109.84/8,423.82 = 4,989.64/x
  3. Step 3: Cross multiply
    6,109.84x = 8,423.82 × 4,989.64
  4. Step 4: Simplify right side
    6,109.84x = 42,031,829.22
  5. Step 5: Solve for x
    x = 42,031,829.22/6,109.84
  6. Step 6: Final answer
    x = 6,879.37

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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.