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Finding the Fourth Proportional to 9,848.44, 13,604.16 and 7,872.94

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Solution

The fourth proportional to 9,848.44, 13,604.16 and 7,872.94 is: 10,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.44 : 13,604.16 = 7,872.94 : x
  2. Step 2: Convert to fraction form
    9,848.44/13,604.16 = 7,872.94/x
  3. Step 3: Cross multiply
    9,848.44x = 13,604.16 × 7,872.94
  4. Step 4: Simplify right side
    9,848.44x = 107,104,735.43
  5. Step 5: Solve for x
    x = 107,104,735.43/9,848.44
  6. Step 6: Final answer
    x = 10,875.30

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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.