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Finding the Fourth Proportional to 9,802.08, 14,668.56 and 7,172.64

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Solution

The fourth proportional to 9,802.08, 14,668.56 and 7,172.64 is: 10,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.08 : 14,668.56 = 7,172.64 : x
  2. Step 2: Convert to fraction form
    9,802.08/14,668.56 = 7,172.64/x
  3. Step 3: Cross multiply
    9,802.08x = 14,668.56 × 7,172.64
  4. Step 4: Simplify right side
    9,802.08x = 105,212,300.20
  5. Step 5: Solve for x
    x = 105,212,300.20/9,802.08
  6. Step 6: Final answer
    x = 10,733.67

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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.