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Finding the Fourth Proportional to 9,208.36, 12,707.94 and 5,668.84

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Solution

The fourth proportional to 9,208.36, 12,707.94 and 5,668.84 is: 7,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.36 : 12,707.94 = 5,668.84 : x
  2. Step 2: Convert to fraction form
    9,208.36/12,707.94 = 5,668.84/x
  3. Step 3: Cross multiply
    9,208.36x = 12,707.94 × 5,668.84
  4. Step 4: Simplify right side
    9,208.36x = 72,039,278.59
  5. Step 5: Solve for x
    x = 72,039,278.59/9,208.36
  6. Step 6: Final answer
    x = 7,823.25

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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.