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Finding the Fourth Proportional to 9,308.88, 12,846.86 and 5,774.44

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Solution

The fourth proportional to 9,308.88, 12,846.86 and 5,774.44 is: 7,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.88 : 12,846.86 = 5,774.44 : x
  2. Step 2: Convert to fraction form
    9,308.88/12,846.86 = 5,774.44/x
  3. Step 3: Cross multiply
    9,308.88x = 12,846.86 × 5,774.44
  4. Step 4: Simplify right side
    9,308.88x = 74,183,422.26
  5. Step 5: Solve for x
    x = 74,183,422.26/9,308.88
  6. Step 6: Final answer
    x = 7,969.10

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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.