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Finding the Fourth Proportional to 9,605.72, 14,410.33 and 4,675.37

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Solution

The fourth proportional to 9,605.72, 14,410.33 and 4,675.37 is: 7,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.72 : 14,410.33 = 4,675.37 : x
  2. Step 2: Convert to fraction form
    9,605.72/14,410.33 = 4,675.37/x
  3. Step 3: Cross multiply
    9,605.72x = 14,410.33 × 4,675.37
  4. Step 4: Simplify right side
    9,605.72x = 67,373,601.20
  5. Step 5: Solve for x
    x = 67,373,601.20/9,605.72
  6. Step 6: Final answer
    x = 7,013.90

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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.