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Finding the Fourth Proportional to 9,532.08, 13,125.24 and 7,847.28

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Solution

The fourth proportional to 9,532.08, 13,125.24 and 7,847.28 is: 10,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.08 : 13,125.24 = 7,847.28 : x
  2. Step 2: Convert to fraction form
    9,532.08/13,125.24 = 7,847.28/x
  3. Step 3: Cross multiply
    9,532.08x = 13,125.24 × 7,847.28
  4. Step 4: Simplify right side
    9,532.08x = 102,997,433.35
  5. Step 5: Solve for x
    x = 102,997,433.35/9,532.08
  6. Step 6: Final answer
    x = 10,805.35

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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.