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Finding the Fourth Proportional to 6,886.62, 9,500.48 and 4,090.50

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Solution

The fourth proportional to 6,886.62, 9,500.48 and 4,090.50 is: 5,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.62 : 9,500.48 = 4,090.50 : x
  2. Step 2: Convert to fraction form
    6,886.62/9,500.48 = 4,090.50/x
  3. Step 3: Cross multiply
    6,886.62x = 9,500.48 × 4,090.50
  4. Step 4: Simplify right side
    6,886.62x = 38,861,713.44
  5. Step 5: Solve for x
    x = 38,861,713.44/6,886.62
  6. Step 6: Final answer
    x = 5,643.08

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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.