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Finding the Fourth Proportional to 9,144.71, 12,619.69 and 4,952.96

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Solution

The fourth proportional to 9,144.71, 12,619.69 and 4,952.96 is: 6,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.71 : 12,619.69 = 4,952.96 : x
  2. Step 2: Convert to fraction form
    9,144.71/12,619.69 = 4,952.96/x
  3. Step 3: Cross multiply
    9,144.71x = 12,619.69 × 4,952.96
  4. Step 4: Simplify right side
    9,144.71x = 62,504,762.88
  5. Step 5: Solve for x
    x = 62,504,762.88/9,144.71
  6. Step 6: Final answer
    x = 6,835.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.