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Finding the Fourth Proportional to 9,869.70, 13,615.75 and 6,093.02

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Solution

The fourth proportional to 9,869.70, 13,615.75 and 6,093.02 is: 8,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.70 : 13,615.75 = 6,093.02 : x
  2. Step 2: Convert to fraction form
    9,869.70/13,615.75 = 6,093.02/x
  3. Step 3: Cross multiply
    9,869.70x = 13,615.75 × 6,093.02
  4. Step 4: Simplify right side
    9,869.70x = 82,961,037.07
  5. Step 5: Solve for x
    x = 82,961,037.07/9,869.70
  6. Step 6: Final answer
    x = 8,405.63

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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.