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Finding the Fourth Proportional to 9,824.10, 13,574.52 and 7,850.94

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Solution

The fourth proportional to 9,824.10, 13,574.52 and 7,850.94 is: 10,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.10 : 13,574.52 = 7,850.94 : x
  2. Step 2: Convert to fraction form
    9,824.10/13,574.52 = 7,850.94/x
  3. Step 3: Cross multiply
    9,824.10x = 13,574.52 × 7,850.94
  4. Step 4: Simplify right side
    9,824.10x = 106,572,742.05
  5. Step 5: Solve for x
    x = 106,572,742.05/9,824.10
  6. Step 6: Final answer
    x = 10,848.09

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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.