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Finding the Fourth Proportional to 6,625.42, 9,938.13 and 3,152.14

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Solution

The fourth proportional to 6,625.42, 9,938.13 and 3,152.14 is: 4,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.42 : 9,938.13 = 3,152.14 : x
  2. Step 2: Convert to fraction form
    6,625.42/9,938.13 = 3,152.14/x
  3. Step 3: Cross multiply
    6,625.42x = 9,938.13 × 3,152.14
  4. Step 4: Simplify right side
    6,625.42x = 31,326,377.10
  5. Step 5: Solve for x
    x = 31,326,377.10/6,625.42
  6. Step 6: Final answer
    x = 4,728.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.