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Finding the Fourth Proportional to 9,335.88, 12,884.00 and 5,144.13

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Solution

The fourth proportional to 9,335.88, 12,884.00 and 5,144.13 is: 7,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.88 : 12,884.00 = 5,144.13 : x
  2. Step 2: Convert to fraction form
    9,335.88/12,884.00 = 5,144.13/x
  3. Step 3: Cross multiply
    9,335.88x = 12,884.00 × 5,144.13
  4. Step 4: Simplify right side
    9,335.88x = 66,276,945.20
  5. Step 5: Solve for x
    x = 66,276,945.20/9,335.88
  6. Step 6: Final answer
    x = 7,099.16

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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.