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Finding the Fourth Proportional to 9,668.16, 13,374.72 and 9,318.24

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Solution

The fourth proportional to 9,668.16, 13,374.72 and 9,318.24 is: 12,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.16 : 13,374.72 = 9,318.24 : x
  2. Step 2: Convert to fraction form
    9,668.16/13,374.72 = 9,318.24/x
  3. Step 3: Cross multiply
    9,668.16x = 13,374.72 × 9,318.24
  4. Step 4: Simplify right side
    9,668.16x = 124,628,850.89
  5. Step 5: Solve for x
    x = 124,628,850.89/9,668.16
  6. Step 6: Final answer
    x = 12,890.65

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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.