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Finding the Fourth Proportional to 9,474.72, 13,075.20 and 5,698

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Solution

The fourth proportional to 9,474.72, 13,075.20 and 5,698 is: 7,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.72 : 13,075.20 = 5,698 : x
  2. Step 2: Convert to fraction form
    9,474.72/13,075.20 = 5,698/x
  3. Step 3: Cross multiply
    9,474.72x = 13,075.20 × 5,698
  4. Step 4: Simplify right side
    9,474.72x = 74,502,489.60
  5. Step 5: Solve for x
    x = 74,502,489.60/9,474.72
  6. Step 6: Final answer
    x = 7,863.29

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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.