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Finding the Fourth Proportional to 9,242.40, 13,860.86 and 2,668.64

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Solution

The fourth proportional to 9,242.40, 13,860.86 and 2,668.64 is: 4,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.40 : 13,860.86 = 2,668.64 : x
  2. Step 2: Convert to fraction form
    9,242.40/13,860.86 = 2,668.64/x
  3. Step 3: Cross multiply
    9,242.40x = 13,860.86 × 2,668.64
  4. Step 4: Simplify right side
    9,242.40x = 36,989,645.43
  5. Step 5: Solve for x
    x = 36,989,645.43/9,242.40
  6. Step 6: Final answer
    x = 4,002.17

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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.