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Finding the Fourth Proportional to 9,214.51, 12,716.39 and 5,235.99

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Solution

The fourth proportional to 9,214.51, 12,716.39 and 5,235.99 is: 7,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.51 : 12,716.39 = 5,235.99 : x
  2. Step 2: Convert to fraction form
    9,214.51/12,716.39 = 5,235.99/x
  3. Step 3: Cross multiply
    9,214.51x = 12,716.39 × 5,235.99
  4. Step 4: Simplify right side
    9,214.51x = 66,582,927.81
  5. Step 5: Solve for x
    x = 66,582,927.81/9,214.51
  6. Step 6: Final answer
    x = 7,225.88

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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.