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Finding the Fourth Proportional to 9,613.67, 13,263.75 and 5,364.04

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Solution

The fourth proportional to 9,613.67, 13,263.75 and 5,364.04 is: 7,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.67 : 13,263.75 = 5,364.04 : x
  2. Step 2: Convert to fraction form
    9,613.67/13,263.75 = 5,364.04/x
  3. Step 3: Cross multiply
    9,613.67x = 13,263.75 × 5,364.04
  4. Step 4: Simplify right side
    9,613.67x = 71,147,285.55
  5. Step 5: Solve for x
    x = 71,147,285.55/9,613.67
  6. Step 6: Final answer
    x = 7,400.64

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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.