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Finding the Fourth Proportional to 6,723.64, 9,277.74 and 3,738.88

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Solution

The fourth proportional to 6,723.64, 9,277.74 and 3,738.88 is: 5,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.64 : 9,277.74 = 3,738.88 : x
  2. Step 2: Convert to fraction form
    6,723.64/9,277.74 = 3,738.88/x
  3. Step 3: Cross multiply
    6,723.64x = 9,277.74 × 3,738.88
  4. Step 4: Simplify right side
    6,723.64x = 34,688,356.53
  5. Step 5: Solve for x
    x = 34,688,356.53/6,723.64
  6. Step 6: Final answer
    x = 5,159.16

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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.