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Finding the Fourth Proportional to 9,695.88, 13,448.31 and 9,302.22

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Solution

The fourth proportional to 9,695.88, 13,448.31 and 9,302.22 is: 12,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.88 : 13,448.31 = 9,302.22 : x
  2. Step 2: Convert to fraction form
    9,695.88/13,448.31 = 9,302.22/x
  3. Step 3: Cross multiply
    9,695.88x = 13,448.31 × 9,302.22
  4. Step 4: Simplify right side
    9,695.88x = 125,099,138.25
  5. Step 5: Solve for x
    x = 125,099,138.25/9,695.88
  6. Step 6: Final answer
    x = 12,902.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.