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Finding the Fourth Proportional to 9,453.84, 12,951.84 and 9,099.20

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Solution

The fourth proportional to 9,453.84, 12,951.84 and 9,099.20 is: 12,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.84 : 12,951.84 = 9,099.20 : x
  2. Step 2: Convert to fraction form
    9,453.84/12,951.84 = 9,099.20/x
  3. Step 3: Cross multiply
    9,453.84x = 12,951.84 × 9,099.20
  4. Step 4: Simplify right side
    9,453.84x = 117,851,382.53
  5. Step 5: Solve for x
    x = 117,851,382.53/9,453.84
  6. Step 6: Final answer
    x = 12,465.98

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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.