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Finding the Fourth Proportional to 9,603.44, 14,396.36 and 8,132.12

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Solution

The fourth proportional to 9,603.44, 14,396.36 and 8,132.12 is: 12,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.44 : 14,396.36 = 8,132.12 : x
  2. Step 2: Convert to fraction form
    9,603.44/14,396.36 = 8,132.12/x
  3. Step 3: Cross multiply
    9,603.44x = 14,396.36 × 8,132.12
  4. Step 4: Simplify right side
    9,603.44x = 117,072,983.40
  5. Step 5: Solve for x
    x = 117,072,983.40/9,603.44
  6. Step 6: Final answer
    x = 12,190.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.