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Finding the Fourth Proportional to 9,828.26, 13,557.93 and 6,095.78

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Solution

The fourth proportional to 9,828.26, 13,557.93 and 6,095.78 is: 8,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.26 : 13,557.93 = 6,095.78 : x
  2. Step 2: Convert to fraction form
    9,828.26/13,557.93 = 6,095.78/x
  3. Step 3: Cross multiply
    9,828.26x = 13,557.93 × 6,095.78
  4. Step 4: Simplify right side
    9,828.26x = 82,646,158.54
  5. Step 5: Solve for x
    x = 82,646,158.54/9,828.26
  6. Step 6: Final answer
    x = 8,409.03

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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.