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Finding the Fourth Proportional to 6,435.30, 9,656.25 and 4,874.78

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Solution

The fourth proportional to 6,435.30, 9,656.25 and 4,874.78 is: 7,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.30 : 9,656.25 = 4,874.78 : x
  2. Step 2: Convert to fraction form
    6,435.30/9,656.25 = 4,874.78/x
  3. Step 3: Cross multiply
    6,435.30x = 9,656.25 × 4,874.78
  4. Step 4: Simplify right side
    6,435.30x = 47,072,141.37
  5. Step 5: Solve for x
    x = 47,072,141.37/6,435.30
  6. Step 6: Final answer
    x = 7,314.68

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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.