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Finding the Fourth Proportional to 6,435.63, 9,653.04 and 2,486.10

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Solution

The fourth proportional to 6,435.63, 9,653.04 and 2,486.10 is: 3,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.63 : 9,653.04 = 2,486.10 : x
  2. Step 2: Convert to fraction form
    6,435.63/9,653.04 = 2,486.10/x
  3. Step 3: Cross multiply
    6,435.63x = 9,653.04 × 2,486.10
  4. Step 4: Simplify right side
    6,435.63x = 23,998,422.74
  5. Step 5: Solve for x
    x = 23,998,422.74/6,435.63
  6. Step 6: Final answer
    x = 3,728.99

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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.