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Finding the Fourth Proportional to 9,798.16, 13,522.35 and 5,549.39

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Solution

The fourth proportional to 9,798.16, 13,522.35 and 5,549.39 is: 7,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.16 : 13,522.35 = 5,549.39 : x
  2. Step 2: Convert to fraction form
    9,798.16/13,522.35 = 5,549.39/x
  3. Step 3: Cross multiply
    9,798.16x = 13,522.35 × 5,549.39
  4. Step 4: Simplify right side
    9,798.16x = 75,040,797.77
  5. Step 5: Solve for x
    x = 75,040,797.77/9,798.16
  6. Step 6: Final answer
    x = 7,658.66

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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.