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Finding the Fourth Proportional to 6,535.76, 9,804.60 and 2,153.68

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Solution

The fourth proportional to 6,535.76, 9,804.60 and 2,153.68 is: 3,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.76 : 9,804.60 = 2,153.68 : x
  2. Step 2: Convert to fraction form
    6,535.76/9,804.60 = 2,153.68/x
  3. Step 3: Cross multiply
    6,535.76x = 9,804.60 × 2,153.68
  4. Step 4: Simplify right side
    6,535.76x = 21,115,970.93
  5. Step 5: Solve for x
    x = 21,115,970.93/6,535.76
  6. Step 6: Final answer
    x = 3,230.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.