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Finding the Fourth Proportional to 9,616.86, 14,400.99 and 8,053.02

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Solution

The fourth proportional to 9,616.86, 14,400.99 and 8,053.02 is: 12,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.86 : 14,400.99 = 8,053.02 : x
  2. Step 2: Convert to fraction form
    9,616.86/14,400.99 = 8,053.02/x
  3. Step 3: Cross multiply
    9,616.86x = 14,400.99 × 8,053.02
  4. Step 4: Simplify right side
    9,616.86x = 115,971,460.49
  5. Step 5: Solve for x
    x = 115,971,460.49/9,616.86
  6. Step 6: Final answer
    x = 12,059.18

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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.