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Finding the Fourth Proportional to 9,584.60, 14,292.25 and 8,419.38

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Solution

The fourth proportional to 9,584.60, 14,292.25 and 8,419.38 is: 12,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.60 : 14,292.25 = 8,419.38 : x
  2. Step 2: Convert to fraction form
    9,584.60/14,292.25 = 8,419.38/x
  3. Step 3: Cross multiply
    9,584.60x = 14,292.25 × 8,419.38
  4. Step 4: Simplify right side
    9,584.60x = 120,331,883.81
  5. Step 5: Solve for x
    x = 120,331,883.81/9,584.60
  6. Step 6: Final answer
    x = 12,554.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.