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Finding the Fourth Proportional to 9,564.41, 14,249.64 and 9,093.89

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Solution

The fourth proportional to 9,564.41, 14,249.64 and 9,093.89 is: 13,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.41 : 14,249.64 = 9,093.89 : x
  2. Step 2: Convert to fraction form
    9,564.41/14,249.64 = 9,093.89/x
  3. Step 3: Cross multiply
    9,564.41x = 14,249.64 × 9,093.89
  4. Step 4: Simplify right side
    9,564.41x = 129,584,587.45
  5. Step 5: Solve for x
    x = 129,584,587.45/9,564.41
  6. Step 6: Final answer
    x = 13,548.63

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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.