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Finding the Fourth Proportional to 6,215.17, 9,322.75 and 5,117.23

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Solution

The fourth proportional to 6,215.17, 9,322.75 and 5,117.23 is: 7,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.17 : 9,322.75 = 5,117.23 : x
  2. Step 2: Convert to fraction form
    6,215.17/9,322.75 = 5,117.23/x
  3. Step 3: Cross multiply
    6,215.17x = 9,322.75 × 5,117.23
  4. Step 4: Simplify right side
    6,215.17x = 47,706,649.09
  5. Step 5: Solve for x
    x = 47,706,649.09/6,215.17
  6. Step 6: Final answer
    x = 7,675.84

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