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Finding the Fourth Proportional to 7,023.17, 9,704.81 and 6,681.49

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Solution

The fourth proportional to 7,023.17, 9,704.81 and 6,681.49 is: 9,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.17 : 9,704.81 = 6,681.49 : x
  2. Step 2: Convert to fraction form
    7,023.17/9,704.81 = 6,681.49/x
  3. Step 3: Cross multiply
    7,023.17x = 9,704.81 × 6,681.49
  4. Step 4: Simplify right side
    7,023.17x = 64,842,590.97
  5. Step 5: Solve for x
    x = 64,842,590.97/7,023.17
  6. Step 6: Final answer
    x = 9,232.67

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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.