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Finding the Fourth Proportional to 9,710.08, 14,542.92 and 5,806.48

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Solution

The fourth proportional to 9,710.08, 14,542.92 and 5,806.48 is: 8,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.08 : 14,542.92 = 5,806.48 : x
  2. Step 2: Convert to fraction form
    9,710.08/14,542.92 = 5,806.48/x
  3. Step 3: Cross multiply
    9,710.08x = 14,542.92 × 5,806.48
  4. Step 4: Simplify right side
    9,710.08x = 84,443,174.12
  5. Step 5: Solve for x
    x = 84,443,174.12/9,710.08
  6. Step 6: Final answer
    x = 8,696.44

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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.