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Finding the Fourth Proportional to 9,896.61, 13,657.34 and 5,359.34

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Solution

The fourth proportional to 9,896.61, 13,657.34 and 5,359.34 is: 7,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.61 : 13,657.34 = 5,359.34 : x
  2. Step 2: Convert to fraction form
    9,896.61/13,657.34 = 5,359.34/x
  3. Step 3: Cross multiply
    9,896.61x = 13,657.34 × 5,359.34
  4. Step 4: Simplify right side
    9,896.61x = 73,194,328.56
  5. Step 5: Solve for x
    x = 73,194,328.56/9,896.61
  6. Step 6: Final answer
    x = 7,395.90

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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.