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Finding the Fourth Proportional to 9,294.89, 13,938.50 and 4,613.18

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Solution

The fourth proportional to 9,294.89, 13,938.50 and 4,613.18 is: 6,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.89 : 13,938.50 = 4,613.18 : x
  2. Step 2: Convert to fraction form
    9,294.89/13,938.50 = 4,613.18/x
  3. Step 3: Cross multiply
    9,294.89x = 13,938.50 × 4,613.18
  4. Step 4: Simplify right side
    9,294.89x = 64,300,751.27
  5. Step 5: Solve for x
    x = 64,300,751.27/9,294.89
  6. Step 6: Final answer
    x = 6,917.86

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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.