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Finding the Fourth Proportional to 6,711.70, 9,260.47 and 4,023.34

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Solution

The fourth proportional to 6,711.70, 9,260.47 and 4,023.34 is: 5,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.70 : 9,260.47 = 4,023.34 : x
  2. Step 2: Convert to fraction form
    6,711.70/9,260.47 = 4,023.34/x
  3. Step 3: Cross multiply
    6,711.70x = 9,260.47 × 4,023.34
  4. Step 4: Simplify right side
    6,711.70x = 37,258,019.37
  5. Step 5: Solve for x
    x = 37,258,019.37/6,711.70
  6. Step 6: Final answer
    x = 5,551.20

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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.