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Finding the Fourth Proportional to 6,122.17, 9,122.45 and 5,824.63

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Solution

The fourth proportional to 6,122.17, 9,122.45 and 5,824.63 is: 8,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.17 : 9,122.45 = 5,824.63 : x
  2. Step 2: Convert to fraction form
    6,122.17/9,122.45 = 5,824.63/x
  3. Step 3: Cross multiply
    6,122.17x = 9,122.45 × 5,824.63
  4. Step 4: Simplify right side
    6,122.17x = 53,134,895.94
  5. Step 5: Solve for x
    x = 53,134,895.94/6,122.17
  6. Step 6: Final answer
    x = 8,679.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.