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Finding the Fourth Proportional to 9,668.06, 13,343.10 and 5,688.98

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Solution

The fourth proportional to 9,668.06, 13,343.10 and 5,688.98 is: 7,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.06 : 13,343.10 = 5,688.98 : x
  2. Step 2: Convert to fraction form
    9,668.06/13,343.10 = 5,688.98/x
  3. Step 3: Cross multiply
    9,668.06x = 13,343.10 × 5,688.98
  4. Step 4: Simplify right side
    9,668.06x = 75,908,629.04
  5. Step 5: Solve for x
    x = 75,908,629.04/9,668.06
  6. Step 6: Final answer
    x = 7,851.49

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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.