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Finding the Fourth Proportional to 9,980.64, 13,772.64 and 5,504.42

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Solution

The fourth proportional to 9,980.64, 13,772.64 and 5,504.42 is: 7,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.64 : 13,772.64 = 5,504.42 : x
  2. Step 2: Convert to fraction form
    9,980.64/13,772.64 = 5,504.42/x
  3. Step 3: Cross multiply
    9,980.64x = 13,772.64 × 5,504.42
  4. Step 4: Simplify right side
    9,980.64x = 75,810,298.68
  5. Step 5: Solve for x
    x = 75,810,298.68/9,980.64
  6. Step 6: Final answer
    x = 7,595.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.