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Finding the Fourth Proportional to 9,111.57, 13,668.91 and 4,181.63

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Solution

The fourth proportional to 9,111.57, 13,668.91 and 4,181.63 is: 6,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.57 : 13,668.91 = 4,181.63 : x
  2. Step 2: Convert to fraction form
    9,111.57/13,668.91 = 4,181.63/x
  3. Step 3: Cross multiply
    9,111.57x = 13,668.91 × 4,181.63
  4. Step 4: Simplify right side
    9,111.57x = 57,158,303.22
  5. Step 5: Solve for x
    x = 57,158,303.22/9,111.57
  6. Step 6: Final answer
    x = 6,273.16

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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.