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Finding the Fourth Proportional to 9,897.37, 13,657.84 and 5,420.27

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Solution

The fourth proportional to 9,897.37, 13,657.84 and 5,420.27 is: 7,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.37 : 13,657.84 = 5,420.27 : x
  2. Step 2: Convert to fraction form
    9,897.37/13,657.84 = 5,420.27/x
  3. Step 3: Cross multiply
    9,897.37x = 13,657.84 × 5,420.27
  4. Step 4: Simplify right side
    9,897.37x = 74,029,201.01
  5. Step 5: Solve for x
    x = 74,029,201.01/9,897.37
  6. Step 6: Final answer
    x = 7,479.69

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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.