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Finding the Fourth Proportional to 7,074.63, 9,763.25 and 4,091.40

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Solution

The fourth proportional to 7,074.63, 9,763.25 and 4,091.40 is: 5,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.63 : 9,763.25 = 4,091.40 : x
  2. Step 2: Convert to fraction form
    7,074.63/9,763.25 = 4,091.40/x
  3. Step 3: Cross multiply
    7,074.63x = 9,763.25 × 4,091.40
  4. Step 4: Simplify right side
    7,074.63x = 39,945,340.59
  5. Step 5: Solve for x
    x = 39,945,340.59/7,074.63
  6. Step 6: Final answer
    x = 5,646.28

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