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Finding the Fourth Proportional to 9,737.20, 13,439.09 and 9,293.48

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Solution

The fourth proportional to 9,737.20, 13,439.09 and 9,293.48 is: 12,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.20 : 13,439.09 = 9,293.48 : x
  2. Step 2: Convert to fraction form
    9,737.20/13,439.09 = 9,293.48/x
  3. Step 3: Cross multiply
    9,737.20x = 13,439.09 × 9,293.48
  4. Step 4: Simplify right side
    9,737.20x = 124,895,834.07
  5. Step 5: Solve for x
    x = 124,895,834.07/9,737.20
  6. Step 6: Final answer
    x = 12,826.67

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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.