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Finding the Fourth Proportional to 9,883.64, 13,637.13 and 5,903.96

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Solution

The fourth proportional to 9,883.64, 13,637.13 and 5,903.96 is: 8,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.64 : 13,637.13 = 5,903.96 : x
  2. Step 2: Convert to fraction form
    9,883.64/13,637.13 = 5,903.96/x
  3. Step 3: Cross multiply
    9,883.64x = 13,637.13 × 5,903.96
  4. Step 4: Simplify right side
    9,883.64x = 80,513,070.03
  5. Step 5: Solve for x
    x = 80,513,070.03/9,883.64
  6. Step 6: Final answer
    x = 8,146.09

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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.