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Finding the Fourth Proportional to 6,851.04, 9,454.46 and 3,707.24

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Solution

The fourth proportional to 6,851.04, 9,454.46 and 3,707.24 is: 5,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.04 : 9,454.46 = 3,707.24 : x
  2. Step 2: Convert to fraction form
    6,851.04/9,454.46 = 3,707.24/x
  3. Step 3: Cross multiply
    6,851.04x = 9,454.46 × 3,707.24
  4. Step 4: Simplify right side
    6,851.04x = 35,049,886.48
  5. Step 5: Solve for x
    x = 35,049,886.48/6,851.04
  6. Step 6: Final answer
    x = 5,116.00

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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.