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Finding the Fourth Proportional to 8,496.81, 11,712.47 and 6,922.17

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Solution

The fourth proportional to 8,496.81, 11,712.47 and 6,922.17 is: 9,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.81 : 11,712.47 = 6,922.17 : x
  2. Step 2: Convert to fraction form
    8,496.81/11,712.47 = 6,922.17/x
  3. Step 3: Cross multiply
    8,496.81x = 11,712.47 × 6,922.17
  4. Step 4: Simplify right side
    8,496.81x = 81,075,673.85
  5. Step 5: Solve for x
    x = 81,075,673.85/8,496.81
  6. Step 6: Final answer
    x = 9,541.90

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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.