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Finding the Fourth Proportional to 6,732.81, 9,291.06 and 3,748.55

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Solution

The fourth proportional to 6,732.81, 9,291.06 and 3,748.55 is: 5,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.81 : 9,291.06 = 3,748.55 : x
  2. Step 2: Convert to fraction form
    6,732.81/9,291.06 = 3,748.55/x
  3. Step 3: Cross multiply
    6,732.81x = 9,291.06 × 3,748.55
  4. Step 4: Simplify right side
    6,732.81x = 34,827,956.51
  5. Step 5: Solve for x
    x = 34,827,956.51/6,732.81
  6. Step 6: Final answer
    x = 5,172.87

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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.