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Finding the Fourth Proportional to 9,643.41, 14,464.03 and 3,402.26

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Solution

The fourth proportional to 9,643.41, 14,464.03 and 3,402.26 is: 5,103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.41 : 14,464.03 = 3,402.26 : x
  2. Step 2: Convert to fraction form
    9,643.41/14,464.03 = 3,402.26/x
  3. Step 3: Cross multiply
    9,643.41x = 14,464.03 × 3,402.26
  4. Step 4: Simplify right side
    9,643.41x = 49,210,390.71
  5. Step 5: Solve for x
    x = 49,210,390.71/9,643.41
  6. Step 6: Final answer
    x = 5,103.01

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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.