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Finding the Fourth Proportional to 6,109.84, 8,439.52 and 5,366.32

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Solution

The fourth proportional to 6,109.84, 8,439.52 and 5,366.32 is: 7,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.84 : 8,439.52 = 5,366.32 : x
  2. Step 2: Convert to fraction form
    6,109.84/8,439.52 = 5,366.32/x
  3. Step 3: Cross multiply
    6,109.84x = 8,439.52 × 5,366.32
  4. Step 4: Simplify right side
    6,109.84x = 45,289,164.97
  5. Step 5: Solve for x
    x = 45,289,164.97/6,109.84
  6. Step 6: Final answer
    x = 7,412.50

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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.