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Finding the Fourth Proportional to 9,409.57, 12,976.19 and 5,632.13

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Solution

The fourth proportional to 9,409.57, 12,976.19 and 5,632.13 is: 7,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.57 : 12,976.19 = 5,632.13 : x
  2. Step 2: Convert to fraction form
    9,409.57/12,976.19 = 5,632.13/x
  3. Step 3: Cross multiply
    9,409.57x = 12,976.19 × 5,632.13
  4. Step 4: Simplify right side
    9,409.57x = 73,083,560.82
  5. Step 5: Solve for x
    x = 73,083,560.82/9,409.57
  6. Step 6: Final answer
    x = 7,766.94

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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.