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Finding the Fourth Proportional to 9,263, 12,782.94 and 5,071.26

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Solution

The fourth proportional to 9,263, 12,782.94 and 5,071.26 is: 6,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263 : 12,782.94 = 5,071.26 : x
  2. Step 2: Convert to fraction form
    9,263/12,782.94 = 5,071.26/x
  3. Step 3: Cross multiply
    9,263x = 12,782.94 × 5,071.26
  4. Step 4: Simplify right side
    9,263x = 64,825,612.30
  5. Step 5: Solve for x
    x = 64,825,612.30/9,263
  6. Step 6: Final answer
    x = 6,998.34

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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.