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Finding the Fourth Proportional to 9,949.60, 14,851.92 and 8,851.20

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Solution

The fourth proportional to 9,949.60, 14,851.92 and 8,851.20 is: 13,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.60 : 14,851.92 = 8,851.20 : x
  2. Step 2: Convert to fraction form
    9,949.60/14,851.92 = 8,851.20/x
  3. Step 3: Cross multiply
    9,949.60x = 14,851.92 × 8,851.20
  4. Step 4: Simplify right side
    9,949.60x = 131,457,314.30
  5. Step 5: Solve for x
    x = 131,457,314.30/9,949.60
  6. Step 6: Final answer
    x = 13,212.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.