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Finding the Fourth Proportional to 9,655.67, 13,324.76 and 5,406.71

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Solution

The fourth proportional to 9,655.67, 13,324.76 and 5,406.71 is: 7,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.67 : 13,324.76 = 5,406.71 : x
  2. Step 2: Convert to fraction form
    9,655.67/13,324.76 = 5,406.71/x
  3. Step 3: Cross multiply
    9,655.67x = 13,324.76 × 5,406.71
  4. Step 4: Simplify right side
    9,655.67x = 72,043,119.42
  5. Step 5: Solve for x
    x = 72,043,119.42/9,655.67
  6. Step 6: Final answer
    x = 7,461.23

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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.