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Finding the Fourth Proportional to 9,580.34, 14,370.76 and 2,654.90

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Solution

The fourth proportional to 9,580.34, 14,370.76 and 2,654.90 is: 3,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.34 : 14,370.76 = 2,654.90 : x
  2. Step 2: Convert to fraction form
    9,580.34/14,370.76 = 2,654.90/x
  3. Step 3: Cross multiply
    9,580.34x = 14,370.76 × 2,654.90
  4. Step 4: Simplify right side
    9,580.34x = 38,152,930.72
  5. Step 5: Solve for x
    x = 38,152,930.72/9,580.34
  6. Step 6: Final answer
    x = 3,982.42

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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.