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Finding the Fourth Proportional to 9,977.76, 14,969.20 and 3,052.24

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Solution

The fourth proportional to 9,977.76, 14,969.20 and 3,052.24 is: 4,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.76 : 14,969.20 = 3,052.24 : x
  2. Step 2: Convert to fraction form
    9,977.76/14,969.20 = 3,052.24/x
  3. Step 3: Cross multiply
    9,977.76x = 14,969.20 × 3,052.24
  4. Step 4: Simplify right side
    9,977.76x = 45,689,591.01
  5. Step 5: Solve for x
    x = 45,689,591.01/9,977.76
  6. Step 6: Final answer
    x = 4,579.14

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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.