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Finding the Fourth Proportional to 6,434.01, 9,665.81 and 4,564.52

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Solution

The fourth proportional to 6,434.01, 9,665.81 and 4,564.52 is: 6,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.01 : 9,665.81 = 4,564.52 : x
  2. Step 2: Convert to fraction form
    6,434.01/9,665.81 = 4,564.52/x
  3. Step 3: Cross multiply
    6,434.01x = 9,665.81 × 4,564.52
  4. Step 4: Simplify right side
    6,434.01x = 44,119,711.91
  5. Step 5: Solve for x
    x = 44,119,711.91/6,434.01
  6. Step 6: Final answer
    x = 6,857.27

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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.