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Finding the Fourth Proportional to 9,842.16, 14,754.12 and 5,161.20

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Solution

The fourth proportional to 9,842.16, 14,754.12 and 5,161.20 is: 7,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.16 : 14,754.12 = 5,161.20 : x
  2. Step 2: Convert to fraction form
    9,842.16/14,754.12 = 5,161.20/x
  3. Step 3: Cross multiply
    9,842.16x = 14,754.12 × 5,161.20
  4. Step 4: Simplify right side
    9,842.16x = 76,148,964.14
  5. Step 5: Solve for x
    x = 76,148,964.14/9,842.16
  6. Step 6: Final answer
    x = 7,737.02

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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.