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Finding the Fourth Proportional to 8,971.84, 13,433.01 and 6,773.86

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Solution

The fourth proportional to 8,971.84, 13,433.01 and 6,773.86 is: 10,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.84 : 13,433.01 = 6,773.86 : x
  2. Step 2: Convert to fraction form
    8,971.84/13,433.01 = 6,773.86/x
  3. Step 3: Cross multiply
    8,971.84x = 13,433.01 × 6,773.86
  4. Step 4: Simplify right side
    8,971.84x = 90,993,329.12
  5. Step 5: Solve for x
    x = 90,993,329.12/8,971.84
  6. Step 6: Final answer
    x = 10,142.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.