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Finding the Fourth Proportional to 6,712.35, 9,263.06 and 3,728.11

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Solution

The fourth proportional to 6,712.35, 9,263.06 and 3,728.11 is: 5,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.35 : 9,263.06 = 3,728.11 : x
  2. Step 2: Convert to fraction form
    6,712.35/9,263.06 = 3,728.11/x
  3. Step 3: Cross multiply
    6,712.35x = 9,263.06 × 3,728.11
  4. Step 4: Simplify right side
    6,712.35x = 34,533,664.82
  5. Step 5: Solve for x
    x = 34,533,664.82/6,712.35
  6. Step 6: Final answer
    x = 5,144.80

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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.