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Finding the Fourth Proportional to 6,285.68, 9,435.36 and 3,656.06

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Solution

The fourth proportional to 6,285.68, 9,435.36 and 3,656.06 is: 5,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.68 : 9,435.36 = 3,656.06 : x
  2. Step 2: Convert to fraction form
    6,285.68/9,435.36 = 3,656.06/x
  3. Step 3: Cross multiply
    6,285.68x = 9,435.36 × 3,656.06
  4. Step 4: Simplify right side
    6,285.68x = 34,496,242.28
  5. Step 5: Solve for x
    x = 34,496,242.28/6,285.68
  6. Step 6: Final answer
    x = 5,488.07

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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.