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Finding the Fourth Proportional to 9,299.25, 12,832.97 and 5,107.50

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Solution

The fourth proportional to 9,299.25, 12,832.97 and 5,107.50 is: 7,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.25 : 12,832.97 = 5,107.50 : x
  2. Step 2: Convert to fraction form
    9,299.25/12,832.97 = 5,107.50/x
  3. Step 3: Cross multiply
    9,299.25x = 12,832.97 × 5,107.50
  4. Step 4: Simplify right side
    9,299.25x = 65,544,368.74
  5. Step 5: Solve for x
    x = 65,544,368.74/9,299.25
  6. Step 6: Final answer
    x = 7,048.35

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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.