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Finding the Fourth Proportional to 6,435.06, 9,643.86 and 3,660.72

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Solution

The fourth proportional to 6,435.06, 9,643.86 and 3,660.72 is: 5,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.06 : 9,643.86 = 3,660.72 : x
  2. Step 2: Convert to fraction form
    6,435.06/9,643.86 = 3,660.72/x
  3. Step 3: Cross multiply
    6,435.06x = 9,643.86 × 3,660.72
  4. Step 4: Simplify right side
    6,435.06x = 35,303,471.18
  5. Step 5: Solve for x
    x = 35,303,471.18/6,435.06
  6. Step 6: Final answer
    x = 5,486.11

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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.