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Finding the Fourth Proportional to 7,175.04, 9,902.48 and 4,031.22

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Solution

The fourth proportional to 7,175.04, 9,902.48 and 4,031.22 is: 5,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.04 : 9,902.48 = 4,031.22 : x
  2. Step 2: Convert to fraction form
    7,175.04/9,902.48 = 4,031.22/x
  3. Step 3: Cross multiply
    7,175.04x = 9,902.48 × 4,031.22
  4. Step 4: Simplify right side
    7,175.04x = 39,919,075.43
  5. Step 5: Solve for x
    x = 39,919,075.43/7,175.04
  6. Step 6: Final answer
    x = 5,563.60

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