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Finding the Fourth Proportional to 9,291.65, 13,941.99 and 3,749.00

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Solution

The fourth proportional to 9,291.65, 13,941.99 and 3,749.00 is: 5,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.65 : 13,941.99 = 3,749.00 : x
  2. Step 2: Convert to fraction form
    9,291.65/13,941.99 = 3,749.00/x
  3. Step 3: Cross multiply
    9,291.65x = 13,941.99 × 3,749.00
  4. Step 4: Simplify right side
    9,291.65x = 52,268,450.80
  5. Step 5: Solve for x
    x = 52,268,450.80/9,291.65
  6. Step 6: Final answer
    x = 5,625.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.