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Finding the Fourth Proportional to 9,542.16, 14,313.24 and 5,583.72

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Solution

The fourth proportional to 9,542.16, 14,313.24 and 5,583.72 is: 8,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.16 : 14,313.24 = 5,583.72 : x
  2. Step 2: Convert to fraction form
    9,542.16/14,313.24 = 5,583.72/x
  3. Step 3: Cross multiply
    9,542.16x = 14,313.24 × 5,583.72
  4. Step 4: Simplify right side
    9,542.16x = 79,921,124.45
  5. Step 5: Solve for x
    x = 79,921,124.45/9,542.16
  6. Step 6: Final answer
    x = 8,375.58

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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.