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Finding the Fourth Proportional to 6,807.12, 9,408.60 and 6,282.24

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Solution

The fourth proportional to 6,807.12, 9,408.60 and 6,282.24 is: 8,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.12 : 9,408.60 = 6,282.24 : x
  2. Step 2: Convert to fraction form
    6,807.12/9,408.60 = 6,282.24/x
  3. Step 3: Cross multiply
    6,807.12x = 9,408.60 × 6,282.24
  4. Step 4: Simplify right side
    6,807.12x = 59,107,083.26
  5. Step 5: Solve for x
    x = 59,107,083.26/6,807.12
  6. Step 6: Final answer
    x = 8,683.13

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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.