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Finding the Fourth Proportional to 9,616.09, 14,423.72 and 6,808.91

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Solution

The fourth proportional to 9,616.09, 14,423.72 and 6,808.91 is: 10,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.09 : 14,423.72 = 6,808.91 : x
  2. Step 2: Convert to fraction form
    9,616.09/14,423.72 = 6,808.91/x
  3. Step 3: Cross multiply
    9,616.09x = 14,423.72 × 6,808.91
  4. Step 4: Simplify right side
    9,616.09x = 98,209,811.35
  5. Step 5: Solve for x
    x = 98,209,811.35/9,616.09
  6. Step 6: Final answer
    x = 10,213.07

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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.