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Finding the Fourth Proportional to 9,967.66, 14,952.04 and 4,043.67

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Solution

The fourth proportional to 9,967.66, 14,952.04 and 4,043.67 is: 6,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.66 : 14,952.04 = 4,043.67 : x
  2. Step 2: Convert to fraction form
    9,967.66/14,952.04 = 4,043.67/x
  3. Step 3: Cross multiply
    9,967.66x = 14,952.04 × 4,043.67
  4. Step 4: Simplify right side
    9,967.66x = 60,461,115.59
  5. Step 5: Solve for x
    x = 60,461,115.59/9,967.66
  6. Step 6: Final answer
    x = 6,065.73

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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.