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Finding the Fourth Proportional to 9,837.71, 13,575.70 and 5,361.37

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Solution

The fourth proportional to 9,837.71, 13,575.70 and 5,361.37 is: 7,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.71 : 13,575.70 = 5,361.37 : x
  2. Step 2: Convert to fraction form
    9,837.71/13,575.70 = 5,361.37/x
  3. Step 3: Cross multiply
    9,837.71x = 13,575.70 × 5,361.37
  4. Step 4: Simplify right side
    9,837.71x = 72,784,323.90
  5. Step 5: Solve for x
    x = 72,784,323.90/9,837.71
  6. Step 6: Final answer
    x = 7,398.50

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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.