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Finding the Fourth Proportional to 6,457.85, 9,686.74 and 2,075.32

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Solution

The fourth proportional to 6,457.85, 9,686.74 and 2,075.32 is: 3,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.85 : 9,686.74 = 2,075.32 : x
  2. Step 2: Convert to fraction form
    6,457.85/9,686.74 = 2,075.32/x
  3. Step 3: Cross multiply
    6,457.85x = 9,686.74 × 2,075.32
  4. Step 4: Simplify right side
    6,457.85x = 20,103,096.07
  5. Step 5: Solve for x
    x = 20,103,096.07/6,457.85
  6. Step 6: Final answer
    x = 3,112.97

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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.