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Finding the Fourth Proportional to 8,971.99, 12,381.35 and 5,195.35

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Solution

The fourth proportional to 8,971.99, 12,381.35 and 5,195.35 is: 7,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.99 : 12,381.35 = 5,195.35 : x
  2. Step 2: Convert to fraction form
    8,971.99/12,381.35 = 5,195.35/x
  3. Step 3: Cross multiply
    8,971.99x = 12,381.35 × 5,195.35
  4. Step 4: Simplify right side
    8,971.99x = 64,325,420.75
  5. Step 5: Solve for x
    x = 64,325,420.75/8,971.99
  6. Step 6: Final answer
    x = 7,169.58

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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.