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Finding the Fourth Proportional to 9,558.58, 13,192.50 and 6,022.96

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Solution

The fourth proportional to 9,558.58, 13,192.50 and 6,022.96 is: 8,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.58 : 13,192.50 = 6,022.96 : x
  2. Step 2: Convert to fraction form
    9,558.58/13,192.50 = 6,022.96/x
  3. Step 3: Cross multiply
    9,558.58x = 13,192.50 × 6,022.96
  4. Step 4: Simplify right side
    9,558.58x = 79,457,899.80
  5. Step 5: Solve for x
    x = 79,457,899.80/9,558.58
  6. Step 6: Final answer
    x = 8,312.73

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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.