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Finding the Fourth Proportional to 9,314.48, 13,905.34 and 8,091.44

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Solution

The fourth proportional to 9,314.48, 13,905.34 and 8,091.44 is: 12,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.48 : 13,905.34 = 8,091.44 : x
  2. Step 2: Convert to fraction form
    9,314.48/13,905.34 = 8,091.44/x
  3. Step 3: Cross multiply
    9,314.48x = 13,905.34 × 8,091.44
  4. Step 4: Simplify right side
    9,314.48x = 112,514,224.29
  5. Step 5: Solve for x
    x = 112,514,224.29/9,314.48
  6. Step 6: Final answer
    x = 12,079.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.