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Finding the Fourth Proportional to 9,896.72, 14,840.36 and 3,655.12

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Solution

The fourth proportional to 9,896.72, 14,840.36 and 3,655.12 is: 5,480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.72 : 14,840.36 = 3,655.12 : x
  2. Step 2: Convert to fraction form
    9,896.72/14,840.36 = 3,655.12/x
  3. Step 3: Cross multiply
    9,896.72x = 14,840.36 × 3,655.12
  4. Step 4: Simplify right side
    9,896.72x = 54,243,296.64
  5. Step 5: Solve for x
    x = 54,243,296.64/9,896.72
  6. Step 6: Final answer
    x = 5,480.94

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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.