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Finding the Fourth Proportional to 9,470.52, 14,206.44 and 2,896.20

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Solution

The fourth proportional to 9,470.52, 14,206.44 and 2,896.20 is: 4,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.52 : 14,206.44 = 2,896.20 : x
  2. Step 2: Convert to fraction form
    9,470.52/14,206.44 = 2,896.20/x
  3. Step 3: Cross multiply
    9,470.52x = 14,206.44 × 2,896.20
  4. Step 4: Simplify right side
    9,470.52x = 41,144,691.53
  5. Step 5: Solve for x
    x = 41,144,691.53/9,470.52
  6. Step 6: Final answer
    x = 4,344.50

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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.