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Finding the Fourth Proportional to 9,446.25, 13,035.83 and 5,254.41

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Solution

The fourth proportional to 9,446.25, 13,035.83 and 5,254.41 is: 7,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.25 : 13,035.83 = 5,254.41 : x
  2. Step 2: Convert to fraction form
    9,446.25/13,035.83 = 5,254.41/x
  3. Step 3: Cross multiply
    9,446.25x = 13,035.83 × 5,254.41
  4. Step 4: Simplify right side
    9,446.25x = 68,495,595.51
  5. Step 5: Solve for x
    x = 68,495,595.51/9,446.25
  6. Step 6: Final answer
    x = 7,251.09

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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.