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Finding the Fourth Proportional to 7,668.16, 11,473.60 and 6,422.40

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Solution

The fourth proportional to 7,668.16, 11,473.60 and 6,422.40 is: 9,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.16 : 11,473.60 = 6,422.40 : x
  2. Step 2: Convert to fraction form
    7,668.16/11,473.60 = 6,422.40/x
  3. Step 3: Cross multiply
    7,668.16x = 11,473.60 × 6,422.40
  4. Step 4: Simplify right side
    7,668.16x = 73,688,048.64
  5. Step 5: Solve for x
    x = 73,688,048.64/7,668.16
  6. Step 6: Final answer
    x = 9,609.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.