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Finding the Fourth Proportional to 9,600.18, 13,253.94 and 8,535.01

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Solution

The fourth proportional to 9,600.18, 13,253.94 and 8,535.01 is: 11,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.18 : 13,253.94 = 8,535.01 : x
  2. Step 2: Convert to fraction form
    9,600.18/13,253.94 = 8,535.01/x
  3. Step 3: Cross multiply
    9,600.18x = 13,253.94 × 8,535.01
  4. Step 4: Simplify right side
    9,600.18x = 113,122,428.87
  5. Step 5: Solve for x
    x = 113,122,428.87/9,600.18
  6. Step 6: Final answer
    x = 11,783.36

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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.