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Finding the Fourth Proportional to 9,242.24, 13,863.04 and 2,668.16

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Solution

The fourth proportional to 9,242.24, 13,863.04 and 2,668.16 is: 4,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.24 : 13,863.04 = 2,668.16 : x
  2. Step 2: Convert to fraction form
    9,242.24/13,863.04 = 2,668.16/x
  3. Step 3: Cross multiply
    9,242.24x = 13,863.04 × 2,668.16
  4. Step 4: Simplify right side
    9,242.24x = 36,988,808.81
  5. Step 5: Solve for x
    x = 36,988,808.81/9,242.24
  6. Step 6: Final answer
    x = 4,002.15

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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.