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Finding the Fourth Proportional to 9,668.16, 13,343.13 and 5,690.25

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Solution

The fourth proportional to 9,668.16, 13,343.13 and 5,690.25 is: 7,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.16 : 13,343.13 = 5,690.25 : x
  2. Step 2: Convert to fraction form
    9,668.16/13,343.13 = 5,690.25/x
  3. Step 3: Cross multiply
    9,668.16x = 13,343.13 × 5,690.25
  4. Step 4: Simplify right side
    9,668.16x = 75,925,745.48
  5. Step 5: Solve for x
    x = 75,925,745.48/9,668.16
  6. Step 6: Final answer
    x = 7,853.17

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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.