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Finding the Fourth Proportional to 9,613.28, 13,262.64 and 5,632.94

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Solution

The fourth proportional to 9,613.28, 13,262.64 and 5,632.94 is: 7,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.28 : 13,262.64 = 5,632.94 : x
  2. Step 2: Convert to fraction form
    9,613.28/13,262.64 = 5,632.94/x
  3. Step 3: Cross multiply
    9,613.28x = 13,262.64 × 5,632.94
  4. Step 4: Simplify right side
    9,613.28x = 74,707,667.39
  5. Step 5: Solve for x
    x = 74,707,667.39/9,613.28
  6. Step 6: Final answer
    x = 7,771.30

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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.