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Finding the Fourth Proportional to 7,034.56, 9,707.76 and 3,891.04

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Solution

The fourth proportional to 7,034.56, 9,707.76 and 3,891.04 is: 5,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.56 : 9,707.76 = 3,891.04 : x
  2. Step 2: Convert to fraction form
    7,034.56/9,707.76 = 3,891.04/x
  3. Step 3: Cross multiply
    7,034.56x = 9,707.76 × 3,891.04
  4. Step 4: Simplify right side
    7,034.56x = 37,773,282.47
  5. Step 5: Solve for x
    x = 37,773,282.47/7,034.56
  6. Step 6: Final answer
    x = 5,369.67

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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.