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Finding the Fourth Proportional to 6,262.96, 8,634.66 and 5,388.16

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Solution

The fourth proportional to 6,262.96, 8,634.66 and 5,388.16 is: 7,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.96 : 8,634.66 = 5,388.16 : x
  2. Step 2: Convert to fraction form
    6,262.96/8,634.66 = 5,388.16/x
  3. Step 3: Cross multiply
    6,262.96x = 8,634.66 × 5,388.16
  4. Step 4: Simplify right side
    6,262.96x = 46,524,929.63
  5. Step 5: Solve for x
    x = 46,524,929.63/6,262.96
  6. Step 6: Final answer
    x = 7,428.58

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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.