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Finding the Fourth Proportional to 6,429.70, 9,634.62 and 4,341.52

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Solution

The fourth proportional to 6,429.70, 9,634.62 and 4,341.52 is: 6,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.70 : 9,634.62 = 4,341.52 : x
  2. Step 2: Convert to fraction form
    6,429.70/9,634.62 = 4,341.52/x
  3. Step 3: Cross multiply
    6,429.70x = 9,634.62 × 4,341.52
  4. Step 4: Simplify right side
    6,429.70x = 41,828,847.25
  5. Step 5: Solve for x
    x = 41,828,847.25/6,429.70
  6. Step 6: Final answer
    x = 6,505.57

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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.