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Finding the Fourth Proportional to 6,746.35, 9,309.48 and 3,762.34

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Solution

The fourth proportional to 6,746.35, 9,309.48 and 3,762.34 is: 5,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.35 : 9,309.48 = 3,762.34 : x
  2. Step 2: Convert to fraction form
    6,746.35/9,309.48 = 3,762.34/x
  3. Step 3: Cross multiply
    6,746.35x = 9,309.48 × 3,762.34
  4. Step 4: Simplify right side
    6,746.35x = 35,025,428.98
  5. Step 5: Solve for x
    x = 35,025,428.98/6,746.35
  6. Step 6: Final answer
    x = 5,191.76

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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.