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Finding the Fourth Proportional to 6,748.34, 9,312.71 and 3,764.16

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Solution

The fourth proportional to 6,748.34, 9,312.71 and 3,764.16 is: 5,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.34 : 9,312.71 = 3,764.16 : x
  2. Step 2: Convert to fraction form
    6,748.34/9,312.71 = 3,764.16/x
  3. Step 3: Cross multiply
    6,748.34x = 9,312.71 × 3,764.16
  4. Step 4: Simplify right side
    6,748.34x = 35,054,511.65
  5. Step 5: Solve for x
    x = 35,054,511.65/6,748.34
  6. Step 6: Final answer
    x = 5,194.54

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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.