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Finding the Fourth Proportional to 6,285.68, 9,428.99 and 1,903.49

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Solution

The fourth proportional to 6,285.68, 9,428.99 and 1,903.49 is: 2,855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.68 : 9,428.99 = 1,903.49 : x
  2. Step 2: Convert to fraction form
    6,285.68/9,428.99 = 1,903.49/x
  3. Step 3: Cross multiply
    6,285.68x = 9,428.99 × 1,903.49
  4. Step 4: Simplify right side
    6,285.68x = 17,947,931.51
  5. Step 5: Solve for x
    x = 17,947,931.51/6,285.68
  6. Step 6: Final answer
    x = 2,855.37

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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.