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Finding the Fourth Proportional to 7,074.41, 9,763.16 and 4,091.00

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Solution

The fourth proportional to 7,074.41, 9,763.16 and 4,091.00 is: 5,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.41 : 9,763.16 = 4,091.00 : x
  2. Step 2: Convert to fraction form
    7,074.41/9,763.16 = 4,091.00/x
  3. Step 3: Cross multiply
    7,074.41x = 9,763.16 × 4,091.00
  4. Step 4: Simplify right side
    7,074.41x = 39,941,018.29
  5. Step 5: Solve for x
    x = 39,941,018.29/7,074.41
  6. Step 6: Final answer
    x = 5,645.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.