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Finding the Fourth Proportional to 6,308.84, 9,464.76 and 2,846.08

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Solution

The fourth proportional to 6,308.84, 9,464.76 and 2,846.08 is: 4,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.84 : 9,464.76 = 2,846.08 : x
  2. Step 2: Convert to fraction form
    6,308.84/9,464.76 = 2,846.08/x
  3. Step 3: Cross multiply
    6,308.84x = 9,464.76 × 2,846.08
  4. Step 4: Simplify right side
    6,308.84x = 26,937,464.14
  5. Step 5: Solve for x
    x = 26,937,464.14/6,308.84
  6. Step 6: Final answer
    x = 4,269.80

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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.