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Finding the Fourth Proportional to 6,895, 9,515.59 and 3,911.09

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Solution

The fourth proportional to 6,895, 9,515.59 and 3,911.09 is: 5,397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895 : 9,515.59 = 3,911.09 : x
  2. Step 2: Convert to fraction form
    6,895/9,515.59 = 3,911.09/x
  3. Step 3: Cross multiply
    6,895x = 9,515.59 × 3,911.09
  4. Step 4: Simplify right side
    6,895x = 37,216,328.89
  5. Step 5: Solve for x
    x = 37,216,328.89/6,895
  6. Step 6: Final answer
    x = 5,397.58

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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.