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Finding the Fourth Proportional to 9,310.64, 13,962.99 and 3,069.49

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Solution

The fourth proportional to 9,310.64, 13,962.99 and 3,069.49 is: 4,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.64 : 13,962.99 = 3,069.49 : x
  2. Step 2: Convert to fraction form
    9,310.64/13,962.99 = 3,069.49/x
  3. Step 3: Cross multiply
    9,310.64x = 13,962.99 × 3,069.49
  4. Step 4: Simplify right side
    9,310.64x = 42,859,173.01
  5. Step 5: Solve for x
    x = 42,859,173.01/9,310.64
  6. Step 6: Final answer
    x = 4,603.25

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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.