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Finding the Fourth Proportional to 9,570.75, 14,357.75 and 2,995.65

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Solution

The fourth proportional to 9,570.75, 14,357.75 and 2,995.65 is: 4,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.75 : 14,357.75 = 2,995.65 : x
  2. Step 2: Convert to fraction form
    9,570.75/14,357.75 = 2,995.65/x
  3. Step 3: Cross multiply
    9,570.75x = 14,357.75 × 2,995.65
  4. Step 4: Simplify right side
    9,570.75x = 43,010,778.81
  5. Step 5: Solve for x
    x = 43,010,778.81/9,570.75
  6. Step 6: Final answer
    x = 4,493.98

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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.