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Finding the Fourth Proportional to 6,457.95, 9,687.74 and 2,075.31

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Solution

The fourth proportional to 6,457.95, 9,687.74 and 2,075.31 is: 3,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.95 : 9,687.74 = 2,075.31 : x
  2. Step 2: Convert to fraction form
    6,457.95/9,687.74 = 2,075.31/x
  3. Step 3: Cross multiply
    6,457.95x = 9,687.74 × 2,075.31
  4. Step 4: Simplify right side
    6,457.95x = 20,105,053.32
  5. Step 5: Solve for x
    x = 20,105,053.32/6,457.95
  6. Step 6: Final answer
    x = 3,113.23

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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.