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Finding the Fourth Proportional to 9,668.06, 14,497.20 and 4,730.30

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Solution

The fourth proportional to 9,668.06, 14,497.20 and 4,730.30 is: 7,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.06 : 14,497.20 = 4,730.30 : x
  2. Step 2: Convert to fraction form
    9,668.06/14,497.20 = 4,730.30/x
  3. Step 3: Cross multiply
    9,668.06x = 14,497.20 × 4,730.30
  4. Step 4: Simplify right side
    9,668.06x = 68,576,105.16
  5. Step 5: Solve for x
    x = 68,576,105.16/9,668.06
  6. Step 6: Final answer
    x = 7,093.06

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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.