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Finding the Fourth Proportional to 9,552.96, 14,316.09 and 8,140.00

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Solution

The fourth proportional to 9,552.96, 14,316.09 and 8,140.00 is: 12,198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.96 : 14,316.09 = 8,140.00 : x
  2. Step 2: Convert to fraction form
    9,552.96/14,316.09 = 8,140.00/x
  3. Step 3: Cross multiply
    9,552.96x = 14,316.09 × 8,140.00
  4. Step 4: Simplify right side
    9,552.96x = 116,532,967.33
  5. Step 5: Solve for x
    x = 116,532,967.33/9,552.96
  6. Step 6: Final answer
    x = 12,198.62

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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.