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Finding the Fourth Proportional to 9,464.44, 12,966.34 and 9,109.73

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Solution

The fourth proportional to 9,464.44, 12,966.34 and 9,109.73 is: 12,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.44 : 12,966.34 = 9,109.73 : x
  2. Step 2: Convert to fraction form
    9,464.44/12,966.34 = 9,109.73/x
  3. Step 3: Cross multiply
    9,464.44x = 12,966.34 × 9,109.73
  4. Step 4: Simplify right side
    9,464.44x = 118,119,866.13
  5. Step 5: Solve for x
    x = 118,119,866.13/9,464.44
  6. Step 6: Final answer
    x = 12,480.39

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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.