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Finding the Fourth Proportional to 9,344.70, 12,896.72 and 5,758.94

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Solution

The fourth proportional to 9,344.70, 12,896.72 and 5,758.94 is: 7,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.70 : 12,896.72 = 5,758.94 : x
  2. Step 2: Convert to fraction form
    9,344.70/12,896.72 = 5,758.94/x
  3. Step 3: Cross multiply
    9,344.70x = 12,896.72 × 5,758.94
  4. Step 4: Simplify right side
    9,344.70x = 74,271,343.40
  5. Step 5: Solve for x
    x = 74,271,343.40/9,344.70
  6. Step 6: Final answer
    x = 7,947.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.