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Finding the Fourth Proportional to 9,574.56, 14,344.56 and 4,943.52

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Solution

The fourth proportional to 9,574.56, 14,344.56 and 4,943.52 is: 7,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.56 : 14,344.56 = 4,943.52 : x
  2. Step 2: Convert to fraction form
    9,574.56/14,344.56 = 4,943.52/x
  3. Step 3: Cross multiply
    9,574.56x = 14,344.56 × 4,943.52
  4. Step 4: Simplify right side
    9,574.56x = 70,912,619.25
  5. Step 5: Solve for x
    x = 70,912,619.25/9,574.56
  6. Step 6: Final answer
    x = 7,406.36

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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.