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Finding the Fourth Proportional to 9,896.34, 14,843.13 and 2,500.35

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Solution

The fourth proportional to 9,896.34, 14,843.13 and 2,500.35 is: 3,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.34 : 14,843.13 = 2,500.35 : x
  2. Step 2: Convert to fraction form
    9,896.34/14,843.13 = 2,500.35/x
  3. Step 3: Cross multiply
    9,896.34x = 14,843.13 × 2,500.35
  4. Step 4: Simplify right side
    9,896.34x = 37,113,020.10
  5. Step 5: Solve for x
    x = 37,113,020.10/9,896.34
  6. Step 6: Final answer
    x = 3,750.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.