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Finding the Fourth Proportional to 9,329.34, 12,868.84 and 5,970.97

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Solution

The fourth proportional to 9,329.34, 12,868.84 and 5,970.97 is: 8,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.34 : 12,868.84 = 5,970.97 : x
  2. Step 2: Convert to fraction form
    9,329.34/12,868.84 = 5,970.97/x
  3. Step 3: Cross multiply
    9,329.34x = 12,868.84 × 5,970.97
  4. Step 4: Simplify right side
    9,329.34x = 76,839,457.57
  5. Step 5: Solve for x
    x = 76,839,457.57/9,329.34
  6. Step 6: Final answer
    x = 8,236.32

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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.