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Finding the Fourth Proportional to 9,821.68, 13,546.93 and 6,039.90

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Solution

The fourth proportional to 9,821.68, 13,546.93 and 6,039.90 is: 8,330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.68 : 13,546.93 = 6,039.90 : x
  2. Step 2: Convert to fraction form
    9,821.68/13,546.93 = 6,039.90/x
  3. Step 3: Cross multiply
    9,821.68x = 13,546.93 × 6,039.90
  4. Step 4: Simplify right side
    9,821.68x = 81,822,102.51
  5. Step 5: Solve for x
    x = 81,822,102.51/9,821.68
  6. Step 6: Final answer
    x = 8,330.76

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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.