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Finding the Fourth Proportional to 9,897.02, 13,657.92 and 5,420.73

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Solution

The fourth proportional to 9,897.02, 13,657.92 and 5,420.73 is: 7,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.02 : 13,657.92 = 5,420.73 : x
  2. Step 2: Convert to fraction form
    9,897.02/13,657.92 = 5,420.73/x
  3. Step 3: Cross multiply
    9,897.02x = 13,657.92 × 5,420.73
  4. Step 4: Simplify right side
    9,897.02x = 74,035,896.68
  5. Step 5: Solve for x
    x = 74,035,896.68/9,897.02
  6. Step 6: Final answer
    x = 7,480.63

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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.