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Finding the Fourth Proportional to 6,851.72, 9,455.40 and 3,707.93

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Solution

The fourth proportional to 6,851.72, 9,455.40 and 3,707.93 is: 5,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.72 : 9,455.40 = 3,707.93 : x
  2. Step 2: Convert to fraction form
    6,851.72/9,455.40 = 3,707.93/x
  3. Step 3: Cross multiply
    6,851.72x = 9,455.40 × 3,707.93
  4. Step 4: Simplify right side
    6,851.72x = 35,059,961.32
  5. Step 5: Solve for x
    x = 35,059,961.32/6,851.72
  6. Step 6: Final answer
    x = 5,116.96

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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.