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Finding the Fourth Proportional to 9,378, 12,887.52 and 8,944.35

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Solution

The fourth proportional to 9,378, 12,887.52 and 8,944.35 is: 12,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378 : 12,887.52 = 8,944.35 : x
  2. Step 2: Convert to fraction form
    9,378/12,887.52 = 8,944.35/x
  3. Step 3: Cross multiply
    9,378x = 12,887.52 × 8,944.35
  4. Step 4: Simplify right side
    9,378x = 115,270,489.51
  5. Step 5: Solve for x
    x = 115,270,489.51/9,378
  6. Step 6: Final answer
    x = 12,291.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.