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Finding the Fourth Proportional to 6,746.52, 9,309.75 and 3,762.18

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Solution

The fourth proportional to 6,746.52, 9,309.75 and 3,762.18 is: 5,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.52 : 9,309.75 = 3,762.18 : x
  2. Step 2: Convert to fraction form
    6,746.52/9,309.75 = 3,762.18/x
  3. Step 3: Cross multiply
    6,746.52x = 9,309.75 × 3,762.18
  4. Step 4: Simplify right side
    6,746.52x = 35,024,955.26
  5. Step 5: Solve for x
    x = 35,024,955.26/6,746.52
  6. Step 6: Final answer
    x = 5,191.56

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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.