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Finding the Fourth Proportional to 9,667.08, 14,506.22 and 5,224.77

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Solution

The fourth proportional to 9,667.08, 14,506.22 and 5,224.77 is: 7,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.08 : 14,506.22 = 5,224.77 : x
  2. Step 2: Convert to fraction form
    9,667.08/14,506.22 = 5,224.77/x
  3. Step 3: Cross multiply
    9,667.08x = 14,506.22 × 5,224.77
  4. Step 4: Simplify right side
    9,667.08x = 75,791,676.13
  5. Step 5: Solve for x
    x = 75,791,676.13/9,667.08
  6. Step 6: Final answer
    x = 7,840.18

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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.