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Finding the Fourth Proportional to 6,811.54, 9,403.42 and 4,712.02

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Solution

The fourth proportional to 6,811.54, 9,403.42 and 4,712.02 is: 6,505.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.54 : 9,403.42 = 4,712.02 : x
  2. Step 2: Convert to fraction form
    6,811.54/9,403.42 = 4,712.02/x
  3. Step 3: Cross multiply
    6,811.54x = 9,403.42 × 4,712.02
  4. Step 4: Simplify right side
    6,811.54x = 44,309,103.11
  5. Step 5: Solve for x
    x = 44,309,103.11/6,811.54
  6. Step 6: Final answer
    x = 6,505.01

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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.