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Finding the Fourth Proportional to 7,137.29, 9,849.44 and 4,153.30

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Solution

The fourth proportional to 7,137.29, 9,849.44 and 4,153.30 is: 5,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.29 : 9,849.44 = 4,153.30 : x
  2. Step 2: Convert to fraction form
    7,137.29/9,849.44 = 4,153.30/x
  3. Step 3: Cross multiply
    7,137.29x = 9,849.44 × 4,153.30
  4. Step 4: Simplify right side
    7,137.29x = 40,907,641.55
  5. Step 5: Solve for x
    x = 40,907,641.55/7,137.29
  6. Step 6: Final answer
    x = 5,731.54

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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.