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Finding the Fourth Proportional to 9,816.90, 13,548.24 and 6,042.54

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Solution

The fourth proportional to 9,816.90, 13,548.24 and 6,042.54 is: 8,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.90 : 13,548.24 = 6,042.54 : x
  2. Step 2: Convert to fraction form
    9,816.90/13,548.24 = 6,042.54/x
  3. Step 3: Cross multiply
    9,816.90x = 13,548.24 × 6,042.54
  4. Step 4: Simplify right side
    9,816.90x = 81,865,782.13
  5. Step 5: Solve for x
    x = 81,865,782.13/9,816.90
  6. Step 6: Final answer
    x = 8,339.27

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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.