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Finding the Fourth Proportional to 6,397.61, 9,597.89 and 2,014.94

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Solution

The fourth proportional to 6,397.61, 9,597.89 and 2,014.94 is: 3,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.61 : 9,597.89 = 2,014.94 : x
  2. Step 2: Convert to fraction form
    6,397.61/9,597.89 = 2,014.94/x
  3. Step 3: Cross multiply
    6,397.61x = 9,597.89 × 2,014.94
  4. Step 4: Simplify right side
    6,397.61x = 19,339,201.51
  5. Step 5: Solve for x
    x = 19,339,201.51/6,397.61
  6. Step 6: Final answer
    x = 3,022.88

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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.