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Finding the Fourth Proportional to 9,609.47, 14,414.72 and 9,083.57

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Solution

The fourth proportional to 9,609.47, 14,414.72 and 9,083.57 is: 13,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.47 : 14,414.72 = 9,083.57 : x
  2. Step 2: Convert to fraction form
    9,609.47/14,414.72 = 9,083.57/x
  3. Step 3: Cross multiply
    9,609.47x = 14,414.72 × 9,083.57
  4. Step 4: Simplify right side
    9,609.47x = 130,937,105.07
  5. Step 5: Solve for x
    x = 130,937,105.07/9,609.47
  6. Step 6: Final answer
    x = 13,625.84

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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.