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Finding the Fourth Proportional to 9,541.80, 14,293.26 and 8,558.46

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Solution

The fourth proportional to 9,541.80, 14,293.26 and 8,558.46 is: 12,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.80 : 14,293.26 = 8,558.46 : x
  2. Step 2: Convert to fraction form
    9,541.80/14,293.26 = 8,558.46/x
  3. Step 3: Cross multiply
    9,541.80x = 14,293.26 × 8,558.46
  4. Step 4: Simplify right side
    9,541.80x = 122,328,293.98
  5. Step 5: Solve for x
    x = 122,328,293.98/9,541.80
  6. Step 6: Final answer
    x = 12,820.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.