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Finding the Fourth Proportional to 6,894.99, 9,515.06 and 3,911.40

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Solution

The fourth proportional to 6,894.99, 9,515.06 and 3,911.40 is: 5,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.99 : 9,515.06 = 3,911.40 : x
  2. Step 2: Convert to fraction form
    6,894.99/9,515.06 = 3,911.40/x
  3. Step 3: Cross multiply
    6,894.99x = 9,515.06 × 3,911.40
  4. Step 4: Simplify right side
    6,894.99x = 37,217,205.68
  5. Step 5: Solve for x
    x = 37,217,205.68/6,894.99
  6. Step 6: Final answer
    x = 5,397.72

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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.