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Finding the Fourth Proportional to 7,175.98, 9,902.98 and 4,343.42

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Solution

The fourth proportional to 7,175.98, 9,902.98 and 4,343.42 is: 5,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.98 : 9,902.98 = 4,343.42 : x
  2. Step 2: Convert to fraction form
    7,175.98/9,902.98 = 4,343.42/x
  3. Step 3: Cross multiply
    7,175.98x = 9,902.98 × 4,343.42
  4. Step 4: Simplify right side
    7,175.98x = 43,012,801.39
  5. Step 5: Solve for x
    x = 43,012,801.39/7,175.98
  6. Step 6: Final answer
    x = 5,994.00

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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.