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Finding the Fourth Proportional to 6,288.65, 9,430.50 and 2,285.09

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Solution

The fourth proportional to 6,288.65, 9,430.50 and 2,285.09 is: 3,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.65 : 9,430.50 = 2,285.09 : x
  2. Step 2: Convert to fraction form
    6,288.65/9,430.50 = 2,285.09/x
  3. Step 3: Cross multiply
    6,288.65x = 9,430.50 × 2,285.09
  4. Step 4: Simplify right side
    6,288.65x = 21,549,525.17
  5. Step 5: Solve for x
    x = 21,549,525.17/6,288.65
  6. Step 6: Final answer
    x = 3,426.73

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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.