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Finding the Fourth Proportional to 6,455.70, 9,665.29 and 4,109.89

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Solution

The fourth proportional to 6,455.70, 9,665.29 and 4,109.89 is: 6,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.70 : 9,665.29 = 4,109.89 : x
  2. Step 2: Convert to fraction form
    6,455.70/9,665.29 = 4,109.89/x
  3. Step 3: Cross multiply
    6,455.70x = 9,665.29 × 4,109.89
  4. Step 4: Simplify right side
    6,455.70x = 39,723,278.72
  5. Step 5: Solve for x
    x = 39,723,278.72/6,455.70
  6. Step 6: Final answer
    x = 6,153.21

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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.