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Finding the Fourth Proportional to 6,572.78, 9,068.10 and 4,216.22

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Solution

The fourth proportional to 6,572.78, 9,068.10 and 4,216.22 is: 5,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.78 : 9,068.10 = 4,216.22 : x
  2. Step 2: Convert to fraction form
    6,572.78/9,068.10 = 4,216.22/x
  3. Step 3: Cross multiply
    6,572.78x = 9,068.10 × 4,216.22
  4. Step 4: Simplify right side
    6,572.78x = 38,233,059.24
  5. Step 5: Solve for x
    x = 38,233,059.24/6,572.78
  6. Step 6: Final answer
    x = 5,816.88

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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.