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Finding the Fourth Proportional to 9,896.62, 13,657.34 and 5,420.65

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Solution

The fourth proportional to 9,896.62, 13,657.34 and 5,420.65 is: 7,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.62 : 13,657.34 = 5,420.65 : x
  2. Step 2: Convert to fraction form
    9,896.62/13,657.34 = 5,420.65/x
  3. Step 3: Cross multiply
    9,896.62x = 13,657.34 × 5,420.65
  4. Step 4: Simplify right side
    9,896.62x = 74,031,670.37
  5. Step 5: Solve for x
    x = 74,031,670.37/9,896.62
  6. Step 6: Final answer
    x = 7,480.50

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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.