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Finding the Fourth Proportional to 6,365.04, 8,728.98 and 6,099

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Solution

The fourth proportional to 6,365.04, 8,728.98 and 6,099 is: 8,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.04 : 8,728.98 = 6,099 : x
  2. Step 2: Convert to fraction form
    6,365.04/8,728.98 = 6,099/x
  3. Step 3: Cross multiply
    6,365.04x = 8,728.98 × 6,099
  4. Step 4: Simplify right side
    6,365.04x = 53,238,049.02
  5. Step 5: Solve for x
    x = 53,238,049.02/6,365.04
  6. Step 6: Final answer
    x = 8,364.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.