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Finding the Fourth Proportional to 9,839.95, 14,762.06 and 4,571.11

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Solution

The fourth proportional to 9,839.95, 14,762.06 and 4,571.11 is: 6,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.95 : 14,762.06 = 4,571.11 : x
  2. Step 2: Convert to fraction form
    9,839.95/14,762.06 = 4,571.11/x
  3. Step 3: Cross multiply
    9,839.95x = 14,762.06 × 4,571.11
  4. Step 4: Simplify right side
    9,839.95x = 67,479,000.09
  5. Step 5: Solve for x
    x = 67,479,000.09/9,839.95
  6. Step 6: Final answer
    x = 6,857.66

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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.