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Finding the Fourth Proportional to 6,825.68, 9,420.36 and 5,062.32

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Solution

The fourth proportional to 6,825.68, 9,420.36 and 5,062.32 is: 6,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.68 : 9,420.36 = 5,062.32 : x
  2. Step 2: Convert to fraction form
    6,825.68/9,420.36 = 5,062.32/x
  3. Step 3: Cross multiply
    6,825.68x = 9,420.36 × 5,062.32
  4. Step 4: Simplify right side
    6,825.68x = 47,688,876.84
  5. Step 5: Solve for x
    x = 47,688,876.84/6,825.68
  6. Step 6: Final answer
    x = 6,986.69

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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.