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Finding the Fourth Proportional to 9,842.16, 14,762.84 and 2,446.48

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Solution

The fourth proportional to 9,842.16, 14,762.84 and 2,446.48 is: 3,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.16 : 14,762.84 = 2,446.48 : x
  2. Step 2: Convert to fraction form
    9,842.16/14,762.84 = 2,446.48/x
  3. Step 3: Cross multiply
    9,842.16x = 14,762.84 × 2,446.48
  4. Step 4: Simplify right side
    9,842.16x = 36,116,992.80
  5. Step 5: Solve for x
    x = 36,116,992.80/9,842.16
  6. Step 6: Final answer
    x = 3,669.62

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Why These Related Problems?

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