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Finding the Fourth Proportional to 9,789.08, 14,664.78 and 7,818.64

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Solution

The fourth proportional to 9,789.08, 14,664.78 and 7,818.64 is: 11,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.08 : 14,664.78 = 7,818.64 : x
  2. Step 2: Convert to fraction form
    9,789.08/14,664.78 = 7,818.64/x
  3. Step 3: Cross multiply
    9,789.08x = 14,664.78 × 7,818.64
  4. Step 4: Simplify right side
    9,789.08x = 114,658,635.50
  5. Step 5: Solve for x
    x = 114,658,635.50/9,789.08
  6. Step 6: Final answer
    x = 11,712.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.