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Finding the Fourth Proportional to 9,301.84, 12,833.34 and 5,268.14

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Solution

The fourth proportional to 9,301.84, 12,833.34 and 5,268.14 is: 7,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.84 : 12,833.34 = 5,268.14 : x
  2. Step 2: Convert to fraction form
    9,301.84/12,833.34 = 5,268.14/x
  3. Step 3: Cross multiply
    9,301.84x = 12,833.34 × 5,268.14
  4. Step 4: Simplify right side
    9,301.84x = 67,607,795.99
  5. Step 5: Solve for x
    x = 67,607,795.99/9,301.84
  6. Step 6: Final answer
    x = 7,268.22

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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.