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Finding the Fourth Proportional to 10,052.10, 13,889.16 and 9,697.32

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Solution

The fourth proportional to 10,052.10, 13,889.16 and 9,697.32 is: 13,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.10 : 13,889.16 = 9,697.32 : x
  2. Step 2: Convert to fraction form
    10,052.10/13,889.16 = 9,697.32/x
  3. Step 3: Cross multiply
    10,052.10x = 13,889.16 × 9,697.32
  4. Step 4: Simplify right side
    10,052.10x = 134,687,629.05
  5. Step 5: Solve for x
    x = 134,687,629.05/10,052.10
  6. Step 6: Final answer
    x = 13,398.95

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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.