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Finding the Fourth Proportional to 9,256.63, 13,885.33 and 7,707.56

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Solution

The fourth proportional to 9,256.63, 13,885.33 and 7,707.56 is: 11,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.63 : 13,885.33 = 7,707.56 : x
  2. Step 2: Convert to fraction form
    9,256.63/13,885.33 = 7,707.56/x
  3. Step 3: Cross multiply
    9,256.63x = 13,885.33 × 7,707.56
  4. Step 4: Simplify right side
    9,256.63x = 107,022,014.09
  5. Step 5: Solve for x
    x = 107,022,014.09/9,256.63
  6. Step 6: Final answer
    x = 11,561.66

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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.