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Finding the Fourth Proportional to 9,570.30, 13,213.46 and 8,558.86

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Solution

The fourth proportional to 9,570.30, 13,213.46 and 8,558.86 is: 11,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.30 : 13,213.46 = 8,558.86 : x
  2. Step 2: Convert to fraction form
    9,570.30/13,213.46 = 8,558.86/x
  3. Step 3: Cross multiply
    9,570.30x = 13,213.46 × 8,558.86
  4. Step 4: Simplify right side
    9,570.30x = 113,092,078.43
  5. Step 5: Solve for x
    x = 113,092,078.43/9,570.30
  6. Step 6: Final answer
    x = 11,816.98

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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.