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Finding the Fourth Proportional to 9,265.24, 13,881.64 and 7,715.20

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Solution

The fourth proportional to 9,265.24, 13,881.64 and 7,715.20 is: 11,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.24 : 13,881.64 = 7,715.20 : x
  2. Step 2: Convert to fraction form
    9,265.24/13,881.64 = 7,715.20/x
  3. Step 3: Cross multiply
    9,265.24x = 13,881.64 × 7,715.20
  4. Step 4: Simplify right side
    9,265.24x = 107,099,628.93
  5. Step 5: Solve for x
    x = 107,099,628.93/9,265.24
  6. Step 6: Final answer
    x = 11,559.29

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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.