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Finding the Fourth Proportional to 9,839.99, 14,756.76 and 3,264.41

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Solution

The fourth proportional to 9,839.99, 14,756.76 and 3,264.41 is: 4,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.99 : 14,756.76 = 3,264.41 : x
  2. Step 2: Convert to fraction form
    9,839.99/14,756.76 = 3,264.41/x
  3. Step 3: Cross multiply
    9,839.99x = 14,756.76 × 3,264.41
  4. Step 4: Simplify right side
    9,839.99x = 48,172,041.13
  5. Step 5: Solve for x
    x = 48,172,041.13/9,839.99
  6. Step 6: Final answer
    x = 4,895.54

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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.