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Finding the Fourth Proportional to 9,813.16, 13,542.24 and 5,336.92

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Solution

The fourth proportional to 9,813.16, 13,542.24 and 5,336.92 is: 7,364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.16 : 13,542.24 = 5,336.92 : x
  2. Step 2: Convert to fraction form
    9,813.16/13,542.24 = 5,336.92/x
  3. Step 3: Cross multiply
    9,813.16x = 13,542.24 × 5,336.92
  4. Step 4: Simplify right side
    9,813.16x = 72,273,851.50
  5. Step 5: Solve for x
    x = 72,273,851.50/9,813.16
  6. Step 6: Final answer
    x = 7,364.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.