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Finding the Fourth Proportional to 9,891.32, 14,824.24 and 7,406.68

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Solution

The fourth proportional to 9,891.32, 14,824.24 and 7,406.68 is: 11,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.32 : 14,824.24 = 7,406.68 : x
  2. Step 2: Convert to fraction form
    9,891.32/14,824.24 = 7,406.68/x
  3. Step 3: Cross multiply
    9,891.32x = 14,824.24 × 7,406.68
  4. Step 4: Simplify right side
    9,891.32x = 109,798,401.92
  5. Step 5: Solve for x
    x = 109,798,401.92/9,891.32
  6. Step 6: Final answer
    x = 11,100.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.