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Finding the Fourth Proportional to 6,712.83, 9,263.30 and 3,728.48

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Solution

The fourth proportional to 6,712.83, 9,263.30 and 3,728.48 is: 5,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.83 : 9,263.30 = 3,728.48 : x
  2. Step 2: Convert to fraction form
    6,712.83/9,263.30 = 3,728.48/x
  3. Step 3: Cross multiply
    6,712.83x = 9,263.30 × 3,728.48
  4. Step 4: Simplify right side
    6,712.83x = 34,537,963.83
  5. Step 5: Solve for x
    x = 34,537,963.83/6,712.83
  6. Step 6: Final answer
    x = 5,145.07

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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.