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Finding the Fourth Proportional to 9,633.52, 13,289.16 and 9,362.44

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Solution

The fourth proportional to 9,633.52, 13,289.16 and 9,362.44 is: 12,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.52 : 13,289.16 = 9,362.44 : x
  2. Step 2: Convert to fraction form
    9,633.52/13,289.16 = 9,362.44/x
  3. Step 3: Cross multiply
    9,633.52x = 13,289.16 × 9,362.44
  4. Step 4: Simplify right side
    9,633.52x = 124,418,963.15
  5. Step 5: Solve for x
    x = 124,418,963.15/9,633.52
  6. Step 6: Final answer
    x = 12,915.21

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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.