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Finding the Fourth Proportional to 6,199.49, 9,290.12 and 4,886.39

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Solution

The fourth proportional to 6,199.49, 9,290.12 and 4,886.39 is: 7,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.49 : 9,290.12 = 4,886.39 : x
  2. Step 2: Convert to fraction form
    6,199.49/9,290.12 = 4,886.39/x
  3. Step 3: Cross multiply
    6,199.49x = 9,290.12 × 4,886.39
  4. Step 4: Simplify right side
    6,199.49x = 45,395,148.26
  5. Step 5: Solve for x
    x = 45,395,148.26/6,199.49
  6. Step 6: Final answer
    x = 7,322.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.