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Finding the Fourth Proportional to 6,843.32, 9,429.84 and 4,719.50

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Solution

The fourth proportional to 6,843.32, 9,429.84 and 4,719.50 is: 6,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.32 : 9,429.84 = 4,719.50 : x
  2. Step 2: Convert to fraction form
    6,843.32/9,429.84 = 4,719.50/x
  3. Step 3: Cross multiply
    6,843.32x = 9,429.84 × 4,719.50
  4. Step 4: Simplify right side
    6,843.32x = 44,504,129.88
  5. Step 5: Solve for x
    x = 44,504,129.88/6,843.32
  6. Step 6: Final answer
    x = 6,503.30

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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.