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Finding the Fourth Proportional to 9,636.12, 14,389.83 and 9,144.12

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Solution

The fourth proportional to 9,636.12, 14,389.83 and 9,144.12 is: 13,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.12 : 14,389.83 = 9,144.12 : x
  2. Step 2: Convert to fraction form
    9,636.12/14,389.83 = 9,144.12/x
  3. Step 3: Cross multiply
    9,636.12x = 14,389.83 × 9,144.12
  4. Step 4: Simplify right side
    9,636.12x = 131,582,332.30
  5. Step 5: Solve for x
    x = 131,582,332.30/9,636.12
  6. Step 6: Final answer
    x = 13,655.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.