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Finding the Fourth Proportional to 6,024.68, 9,036.50 and 2,075.93

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Solution

The fourth proportional to 6,024.68, 9,036.50 and 2,075.93 is: 3,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.68 : 9,036.50 = 2,075.93 : x
  2. Step 2: Convert to fraction form
    6,024.68/9,036.50 = 2,075.93/x
  3. Step 3: Cross multiply
    6,024.68x = 9,036.50 × 2,075.93
  4. Step 4: Simplify right side
    6,024.68x = 18,759,096.26
  5. Step 5: Solve for x
    x = 18,759,096.26/6,024.68
  6. Step 6: Final answer
    x = 3,113.71

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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.