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Finding the Fourth Proportional to 9,572.97, 14,359.44 and 2,999.67

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Solution

The fourth proportional to 9,572.97, 14,359.44 and 2,999.67 is: 4,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.97 : 14,359.44 = 2,999.67 : x
  2. Step 2: Convert to fraction form
    9,572.97/14,359.44 = 2,999.67/x
  3. Step 3: Cross multiply
    9,572.97x = 14,359.44 × 2,999.67
  4. Step 4: Simplify right side
    9,572.97x = 43,073,581.38
  5. Step 5: Solve for x
    x = 43,073,581.38/9,572.97
  6. Step 6: Final answer
    x = 4,499.50

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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.