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Finding the Fourth Proportional to 9,749.33, 14,599.07 and 7,777.84

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Solution

The fourth proportional to 9,749.33, 14,599.07 and 7,777.84 is: 11,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.33 : 14,599.07 = 7,777.84 : x
  2. Step 2: Convert to fraction form
    9,749.33/14,599.07 = 7,777.84/x
  3. Step 3: Cross multiply
    9,749.33x = 14,599.07 × 7,777.84
  4. Step 4: Simplify right side
    9,749.33x = 113,549,213.56
  5. Step 5: Solve for x
    x = 113,549,213.56/9,749.33
  6. Step 6: Final answer
    x = 11,646.88

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