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Finding the Fourth Proportional to 9,616.50, 14,401.53 and 4,673.94

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Solution

The fourth proportional to 9,616.50, 14,401.53 and 4,673.94 is: 6,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.50 : 14,401.53 = 4,673.94 : x
  2. Step 2: Convert to fraction form
    9,616.50/14,401.53 = 4,673.94/x
  3. Step 3: Cross multiply
    9,616.50x = 14,401.53 × 4,673.94
  4. Step 4: Simplify right side
    9,616.50x = 67,311,887.13
  5. Step 5: Solve for x
    x = 67,311,887.13/9,616.50
  6. Step 6: Final answer
    x = 6,999.62

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Why These Related Problems?

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