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Finding the Fourth Proportional to 7,083.93, 9,778.47 and 6,085.20

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Solution

The fourth proportional to 7,083.93, 9,778.47 and 6,085.20 is: 8,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.93 : 9,778.47 = 6,085.20 : x
  2. Step 2: Convert to fraction form
    7,083.93/9,778.47 = 6,085.20/x
  3. Step 3: Cross multiply
    7,083.93x = 9,778.47 × 6,085.20
  4. Step 4: Simplify right side
    7,083.93x = 59,503,945.64
  5. Step 5: Solve for x
    x = 59,503,945.64/7,083.93
  6. Step 6: Final answer
    x = 8,399.85

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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.