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Finding the Fourth Proportional to 9,777.38, 13,479.54 and 6,414.26

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Solution

The fourth proportional to 9,777.38, 13,479.54 and 6,414.26 is: 8,842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.38 : 13,479.54 = 6,414.26 : x
  2. Step 2: Convert to fraction form
    9,777.38/13,479.54 = 6,414.26/x
  3. Step 3: Cross multiply
    9,777.38x = 13,479.54 × 6,414.26
  4. Step 4: Simplify right side
    9,777.38x = 86,461,274.24
  5. Step 5: Solve for x
    x = 86,461,274.24/9,777.38
  6. Step 6: Final answer
    x = 8,842.99

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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.