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Finding the Fourth Proportional to 7,051.41, 9,728.73 and 4,066.86

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Solution

The fourth proportional to 7,051.41, 9,728.73 and 4,066.86 is: 5,610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.41 : 9,728.73 = 4,066.86 : x
  2. Step 2: Convert to fraction form
    7,051.41/9,728.73 = 4,066.86/x
  3. Step 3: Cross multiply
    7,051.41x = 9,728.73 × 4,066.86
  4. Step 4: Simplify right side
    7,051.41x = 39,565,382.89
  5. Step 5: Solve for x
    x = 39,565,382.89/7,051.41
  6. Step 6: Final answer
    x = 5,610.99

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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.