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Finding the Fourth Proportional to 9,094.64, 13,643.22 and 3,252.20

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Solution

The fourth proportional to 9,094.64, 13,643.22 and 3,252.20 is: 4,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.64 : 13,643.22 = 3,252.20 : x
  2. Step 2: Convert to fraction form
    9,094.64/13,643.22 = 3,252.20/x
  3. Step 3: Cross multiply
    9,094.64x = 13,643.22 × 3,252.20
  4. Step 4: Simplify right side
    9,094.64x = 44,370,480.08
  5. Step 5: Solve for x
    x = 44,370,480.08/9,094.64
  6. Step 6: Final answer
    x = 4,878.75

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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.