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Finding the Fourth Proportional to 9,531.33, 14,296.90 and 9,296.03

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Solution

The fourth proportional to 9,531.33, 14,296.90 and 9,296.03 is: 13,943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.33 : 14,296.90 = 9,296.03 : x
  2. Step 2: Convert to fraction form
    9,531.33/14,296.90 = 9,296.03/x
  3. Step 3: Cross multiply
    9,531.33x = 14,296.90 × 9,296.03
  4. Step 4: Simplify right side
    9,531.33x = 132,904,411.31
  5. Step 5: Solve for x
    x = 132,904,411.31/9,531.33
  6. Step 6: Final answer
    x = 13,943.95

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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.