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Finding the Fourth Proportional to 6,397.10, 9,595.64 and 3,107.37

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Solution

The fourth proportional to 6,397.10, 9,595.64 and 3,107.37 is: 4,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.10 : 9,595.64 = 3,107.37 : x
  2. Step 2: Convert to fraction form
    6,397.10/9,595.64 = 3,107.37/x
  3. Step 3: Cross multiply
    6,397.10x = 9,595.64 × 3,107.37
  4. Step 4: Simplify right side
    6,397.10x = 29,817,203.87
  5. Step 5: Solve for x
    x = 29,817,203.87/6,397.10
  6. Step 6: Final answer
    x = 4,661.05

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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.