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Finding the Fourth Proportional to 6,329.71, 9,494.60 and 4,152.23

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Solution

The fourth proportional to 6,329.71, 9,494.60 and 4,152.23 is: 6,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.71 : 9,494.60 = 4,152.23 : x
  2. Step 2: Convert to fraction form
    6,329.71/9,494.60 = 4,152.23/x
  3. Step 3: Cross multiply
    6,329.71x = 9,494.60 × 4,152.23
  4. Step 4: Simplify right side
    6,329.71x = 39,423,762.96
  5. Step 5: Solve for x
    x = 39,423,762.96/6,329.71
  6. Step 6: Final answer
    x = 6,228.37

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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.