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Finding the Fourth Proportional to 6,420.92, 9,613.12 and 4,223.04

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Solution

The fourth proportional to 6,420.92, 9,613.12 and 4,223.04 is: 6,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.92 : 9,613.12 = 4,223.04 : x
  2. Step 2: Convert to fraction form
    6,420.92/9,613.12 = 4,223.04/x
  3. Step 3: Cross multiply
    6,420.92x = 9,613.12 × 4,223.04
  4. Step 4: Simplify right side
    6,420.92x = 40,596,590.28
  5. Step 5: Solve for x
    x = 40,596,590.28/6,420.92
  6. Step 6: Final answer
    x = 6,322.55

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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.