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Finding the Fourth Proportional to 6,569.82, 9,068.22 and 3,738.72

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Solution

The fourth proportional to 6,569.82, 9,068.22 and 3,738.72 is: 5,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.82 : 9,068.22 = 3,738.72 : x
  2. Step 2: Convert to fraction form
    6,569.82/9,068.22 = 3,738.72/x
  3. Step 3: Cross multiply
    6,569.82x = 9,068.22 × 3,738.72
  4. Step 4: Simplify right side
    6,569.82x = 33,903,535.48
  5. Step 5: Solve for x
    x = 33,903,535.48/6,569.82
  6. Step 6: Final answer
    x = 5,160.50

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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.