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Finding the Fourth Proportional to 9,782.15, 13,494.20 and 6,006.06

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Solution

The fourth proportional to 9,782.15, 13,494.20 and 6,006.06 is: 8,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.15 : 13,494.20 = 6,006.06 : x
  2. Step 2: Convert to fraction form
    9,782.15/13,494.20 = 6,006.06/x
  3. Step 3: Cross multiply
    9,782.15x = 13,494.20 × 6,006.06
  4. Step 4: Simplify right side
    9,782.15x = 81,046,944.82
  5. Step 5: Solve for x
    x = 81,046,944.82/9,782.15
  6. Step 6: Final answer
    x = 8,285.19

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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.