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Finding the Fourth Proportional to 9,216.30, 13,814.10 and 3,668.13

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Solution

The fourth proportional to 9,216.30, 13,814.10 and 3,668.13 is: 5,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.30 : 13,814.10 = 3,668.13 : x
  2. Step 2: Convert to fraction form
    9,216.30/13,814.10 = 3,668.13/x
  3. Step 3: Cross multiply
    9,216.30x = 13,814.10 × 3,668.13
  4. Step 4: Simplify right side
    9,216.30x = 50,671,914.63
  5. Step 5: Solve for x
    x = 50,671,914.63/9,216.30
  6. Step 6: Final answer
    x = 5,498.08

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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.