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Finding the Fourth Proportional to 7,006.16, 9,665.43 and 4,613.04

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Solution

The fourth proportional to 7,006.16, 9,665.43 and 4,613.04 is: 6,363.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.16 : 9,665.43 = 4,613.04 : x
  2. Step 2: Convert to fraction form
    7,006.16/9,665.43 = 4,613.04/x
  3. Step 3: Cross multiply
    7,006.16x = 9,665.43 × 4,613.04
  4. Step 4: Simplify right side
    7,006.16x = 44,587,015.21
  5. Step 5: Solve for x
    x = 44,587,015.21/7,006.16
  6. Step 6: Final answer
    x = 6,363.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.