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Finding the Fourth Proportional to 9,464.30, 13,060.22 and 5,215.22

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Solution

The fourth proportional to 9,464.30, 13,060.22 and 5,215.22 is: 7,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.30 : 13,060.22 = 5,215.22 : x
  2. Step 2: Convert to fraction form
    9,464.30/13,060.22 = 5,215.22/x
  3. Step 3: Cross multiply
    9,464.30x = 13,060.22 × 5,215.22
  4. Step 4: Simplify right side
    9,464.30x = 68,111,920.55
  5. Step 5: Solve for x
    x = 68,111,920.55/9,464.30
  6. Step 6: Final answer
    x = 7,196.72

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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.