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Finding the Fourth Proportional to 6,518.26, 8,995.25 and 3,534.14

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Solution

The fourth proportional to 6,518.26, 8,995.25 and 3,534.14 is: 4,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.26 : 8,995.25 = 3,534.14 : x
  2. Step 2: Convert to fraction form
    6,518.26/8,995.25 = 3,534.14/x
  3. Step 3: Cross multiply
    6,518.26x = 8,995.25 × 3,534.14
  4. Step 4: Simplify right side
    6,518.26x = 31,790,477.65
  5. Step 5: Solve for x
    x = 31,790,477.65/6,518.26
  6. Step 6: Final answer
    x = 4,877.14

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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.