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Finding the Fourth Proportional to 9,745.90, 14,621.25 and 2,821.10

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Solution

The fourth proportional to 9,745.90, 14,621.25 and 2,821.10 is: 4,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.90 : 14,621.25 = 2,821.10 : x
  2. Step 2: Convert to fraction form
    9,745.90/14,621.25 = 2,821.10/x
  3. Step 3: Cross multiply
    9,745.90x = 14,621.25 × 2,821.10
  4. Step 4: Simplify right side
    9,745.90x = 41,248,008.38
  5. Step 5: Solve for x
    x = 41,248,008.38/9,745.90
  6. Step 6: Final answer
    x = 4,232.34

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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.