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Finding the Fourth Proportional to 6,434.29, 9,658.31 and 5,698.45

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Solution

The fourth proportional to 6,434.29, 9,658.31 and 5,698.45 is: 8,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.29 : 9,658.31 = 5,698.45 : x
  2. Step 2: Convert to fraction form
    6,434.29/9,658.31 = 5,698.45/x
  3. Step 3: Cross multiply
    6,434.29x = 9,658.31 × 5,698.45
  4. Step 4: Simplify right side
    6,434.29x = 55,037,428.28
  5. Step 5: Solve for x
    x = 55,037,428.28/6,434.29
  6. Step 6: Final answer
    x = 8,553.77

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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.