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Finding the Fourth Proportional to 6,300.75, 9,444.75 and 2,605.02

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Solution

The fourth proportional to 6,300.75, 9,444.75 and 2,605.02 is: 3,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.75 : 9,444.75 = 2,605.02 : x
  2. Step 2: Convert to fraction form
    6,300.75/9,444.75 = 2,605.02/x
  3. Step 3: Cross multiply
    6,300.75x = 9,444.75 × 2,605.02
  4. Step 4: Simplify right side
    6,300.75x = 24,603,762.65
  5. Step 5: Solve for x
    x = 24,603,762.65/6,300.75
  6. Step 6: Final answer
    x = 3,904.89

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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.