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Finding the Fourth Proportional to 9,571.40, 14,357.36 and 2,645.90

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Solution

The fourth proportional to 9,571.40, 14,357.36 and 2,645.90 is: 3,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.40 : 14,357.36 = 2,645.90 : x
  2. Step 2: Convert to fraction form
    9,571.40/14,357.36 = 2,645.90/x
  3. Step 3: Cross multiply
    9,571.40x = 14,357.36 × 2,645.90
  4. Step 4: Simplify right side
    9,571.40x = 37,988,073.65
  5. Step 5: Solve for x
    x = 37,988,073.65/9,571.40
  6. Step 6: Final answer
    x = 3,968.92

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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.