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Finding the Fourth Proportional to 6,669.96, 9,197.63 and 5,728.87

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Solution

The fourth proportional to 6,669.96, 9,197.63 and 5,728.87 is: 7,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.96 : 9,197.63 = 5,728.87 : x
  2. Step 2: Convert to fraction form
    6,669.96/9,197.63 = 5,728.87/x
  3. Step 3: Cross multiply
    6,669.96x = 9,197.63 × 5,728.87
  4. Step 4: Simplify right side
    6,669.96x = 52,691,980.59
  5. Step 5: Solve for x
    x = 52,691,980.59/6,669.96
  6. Step 6: Final answer
    x = 7,899.89

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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.