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Finding the Fourth Proportional to 6,772.48, 9,344.64 and 4,288

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Solution

The fourth proportional to 6,772.48, 9,344.64 and 4,288 is: 5,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.48 : 9,344.64 = 4,288 : x
  2. Step 2: Convert to fraction form
    6,772.48/9,344.64 = 4,288/x
  3. Step 3: Cross multiply
    6,772.48x = 9,344.64 × 4,288
  4. Step 4: Simplify right side
    6,772.48x = 40,069,816.32
  5. Step 5: Solve for x
    x = 40,069,816.32/6,772.48
  6. Step 6: Final answer
    x = 5,916.56

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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.