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Finding the Fourth Proportional to 9,643.10, 14,464.65 and 2,717.60

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Solution

The fourth proportional to 9,643.10, 14,464.65 and 2,717.60 is: 4,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.10 : 14,464.65 = 2,717.60 : x
  2. Step 2: Convert to fraction form
    9,643.10/14,464.65 = 2,717.60/x
  3. Step 3: Cross multiply
    9,643.10x = 14,464.65 × 2,717.60
  4. Step 4: Simplify right side
    9,643.10x = 39,309,132.84
  5. Step 5: Solve for x
    x = 39,309,132.84/9,643.10
  6. Step 6: Final answer
    x = 4,076.40

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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.