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Finding the Fourth Proportional to 9,980.16, 13,772.38 and 5,503.82

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Solution

The fourth proportional to 9,980.16, 13,772.38 and 5,503.82 is: 7,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.16 : 13,772.38 = 5,503.82 : x
  2. Step 2: Convert to fraction form
    9,980.16/13,772.38 = 5,503.82/x
  3. Step 3: Cross multiply
    9,980.16x = 13,772.38 × 5,503.82
  4. Step 4: Simplify right side
    9,980.16x = 75,800,700.49
  5. Step 5: Solve for x
    x = 75,800,700.49/9,980.16
  6. Step 6: Final answer
    x = 7,595.14

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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.