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Finding the Fourth Proportional to 6,198.19, 9,297.28 and 5,886.74

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Solution

The fourth proportional to 6,198.19, 9,297.28 and 5,886.74 is: 8,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.19 : 9,297.28 = 5,886.74 : x
  2. Step 2: Convert to fraction form
    6,198.19/9,297.28 = 5,886.74/x
  3. Step 3: Cross multiply
    6,198.19x = 9,297.28 × 5,886.74
  4. Step 4: Simplify right side
    6,198.19x = 54,730,700.67
  5. Step 5: Solve for x
    x = 54,730,700.67/6,198.19
  6. Step 6: Final answer
    x = 8,830.11

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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.