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Finding the Fourth Proportional to 9,817.29, 13,550.60 and 6,041.07

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Solution

The fourth proportional to 9,817.29, 13,550.60 and 6,041.07 is: 8,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.29 : 13,550.60 = 6,041.07 : x
  2. Step 2: Convert to fraction form
    9,817.29/13,550.60 = 6,041.07/x
  3. Step 3: Cross multiply
    9,817.29x = 13,550.60 × 6,041.07
  4. Step 4: Simplify right side
    9,817.29x = 81,860,123.14
  5. Step 5: Solve for x
    x = 81,860,123.14/9,817.29
  6. Step 6: Final answer
    x = 8,338.36

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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.