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Finding the Fourth Proportional to 7,054.21, 9,734.29 and 3,867.00

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Solution

The fourth proportional to 7,054.21, 9,734.29 and 3,867.00 is: 5,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.21 : 9,734.29 = 3,867.00 : x
  2. Step 2: Convert to fraction form
    7,054.21/9,734.29 = 3,867.00/x
  3. Step 3: Cross multiply
    7,054.21x = 9,734.29 × 3,867.00
  4. Step 4: Simplify right side
    7,054.21x = 37,642,431.42
  5. Step 5: Solve for x
    x = 37,642,431.42/7,054.21
  6. Step 6: Final answer
    x = 5,336.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.