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Finding the Fourth Proportional to 6,218.58, 9,325.34 and 3,097.45

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Solution

The fourth proportional to 6,218.58, 9,325.34 and 3,097.45 is: 4,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.58 : 9,325.34 = 3,097.45 : x
  2. Step 2: Convert to fraction form
    6,218.58/9,325.34 = 3,097.45/x
  3. Step 3: Cross multiply
    6,218.58x = 9,325.34 × 3,097.45
  4. Step 4: Simplify right side
    6,218.58x = 28,884,774.38
  5. Step 5: Solve for x
    x = 28,884,774.38/6,218.58
  6. Step 6: Final answer
    x = 4,644.91

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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.