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Finding the Fourth Proportional to 6,746.37, 9,309.95 and 3,762.24

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Solution

The fourth proportional to 6,746.37, 9,309.95 and 3,762.24 is: 5,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.37 : 9,309.95 = 3,762.24 : x
  2. Step 2: Convert to fraction form
    6,746.37/9,309.95 = 3,762.24/x
  3. Step 3: Cross multiply
    6,746.37x = 9,309.95 × 3,762.24
  4. Step 4: Simplify right side
    6,746.37x = 35,026,266.29
  5. Step 5: Solve for x
    x = 35,026,266.29/6,746.37
  6. Step 6: Final answer
    x = 5,191.87

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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.