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Finding the Fourth Proportional to 9,528.92, 13,137.24 and 7,821.08

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Solution

The fourth proportional to 9,528.92, 13,137.24 and 7,821.08 is: 10,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.92 : 13,137.24 = 7,821.08 : x
  2. Step 2: Convert to fraction form
    9,528.92/13,137.24 = 7,821.08/x
  3. Step 3: Cross multiply
    9,528.92x = 13,137.24 × 7,821.08
  4. Step 4: Simplify right side
    9,528.92x = 102,747,405.02
  5. Step 5: Solve for x
    x = 102,747,405.02/9,528.92
  6. Step 6: Final answer
    x = 10,782.69

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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.