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Finding the Fourth Proportional to 9,593.66, 14,391.22 and 4,047.60

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Solution

The fourth proportional to 9,593.66, 14,391.22 and 4,047.60 is: 6,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.66 : 14,391.22 = 4,047.60 : x
  2. Step 2: Convert to fraction form
    9,593.66/14,391.22 = 4,047.60/x
  3. Step 3: Cross multiply
    9,593.66x = 14,391.22 × 4,047.60
  4. Step 4: Simplify right side
    9,593.66x = 58,249,902.07
  5. Step 5: Solve for x
    x = 58,249,902.07/9,593.66
  6. Step 6: Final answer
    x = 6,071.71

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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.