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Finding the Fourth Proportional to 9,633.46, 13,290.24 and 7,636

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Solution

The fourth proportional to 9,633.46, 13,290.24 and 7,636 is: 10,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.46 : 13,290.24 = 7,636 : x
  2. Step 2: Convert to fraction form
    9,633.46/13,290.24 = 7,636/x
  3. Step 3: Cross multiply
    9,633.46x = 13,290.24 × 7,636
  4. Step 4: Simplify right side
    9,633.46x = 101,484,272.64
  5. Step 5: Solve for x
    x = 101,484,272.64/9,633.46
  6. Step 6: Final answer
    x = 10,534.56

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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.