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Finding the Fourth Proportional to 6,075.65, 9,111.73 and 2,566.45

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Solution

The fourth proportional to 6,075.65, 9,111.73 and 2,566.45 is: 3,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.65 : 9,111.73 = 2,566.45 : x
  2. Step 2: Convert to fraction form
    6,075.65/9,111.73 = 2,566.45/x
  3. Step 3: Cross multiply
    6,075.65x = 9,111.73 × 2,566.45
  4. Step 4: Simplify right side
    6,075.65x = 23,384,786.63
  5. Step 5: Solve for x
    x = 23,384,786.63/6,075.65
  6. Step 6: Final answer
    x = 3,848.94

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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.