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Finding the Fourth Proportional to 9,192.71, 13,776.94 and 3,643.02

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Solution

The fourth proportional to 9,192.71, 13,776.94 and 3,643.02 is: 5,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.71 : 13,776.94 = 3,643.02 : x
  2. Step 2: Convert to fraction form
    9,192.71/13,776.94 = 3,643.02/x
  3. Step 3: Cross multiply
    9,192.71x = 13,776.94 × 3,643.02
  4. Step 4: Simplify right side
    9,192.71x = 50,189,711.51
  5. Step 5: Solve for x
    x = 50,189,711.51/9,192.71
  6. Step 6: Final answer
    x = 5,459.73

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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.