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Finding the Fourth Proportional to 9,308.34, 12,832.29 and 7,403.22

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Solution

The fourth proportional to 9,308.34, 12,832.29 and 7,403.22 is: 10,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.34 : 12,832.29 = 7,403.22 : x
  2. Step 2: Convert to fraction form
    9,308.34/12,832.29 = 7,403.22/x
  3. Step 3: Cross multiply
    9,308.34x = 12,832.29 × 7,403.22
  4. Step 4: Simplify right side
    9,308.34x = 95,000,265.97
  5. Step 5: Solve for x
    x = 95,000,265.97/9,308.34
  6. Step 6: Final answer
    x = 10,205.93

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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.