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Finding the Fourth Proportional to 9,748.01, 13,448.65 and 6,392.69

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Solution

The fourth proportional to 9,748.01, 13,448.65 and 6,392.69 is: 8,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.01 : 13,448.65 = 6,392.69 : x
  2. Step 2: Convert to fraction form
    9,748.01/13,448.65 = 6,392.69/x
  3. Step 3: Cross multiply
    9,748.01x = 13,448.65 × 6,392.69
  4. Step 4: Simplify right side
    9,748.01x = 85,973,029.56
  5. Step 5: Solve for x
    x = 85,973,029.56/9,748.01
  6. Step 6: Final answer
    x = 8,819.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.