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Finding the Fourth Proportional to 9,623.57, 14,448.77 and 4,947.54

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Solution

The fourth proportional to 9,623.57, 14,448.77 and 4,947.54 is: 7,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.57 : 14,448.77 = 4,947.54 : x
  2. Step 2: Convert to fraction form
    9,623.57/14,448.77 = 4,947.54/x
  3. Step 3: Cross multiply
    9,623.57x = 14,448.77 × 4,947.54
  4. Step 4: Simplify right side
    9,623.57x = 71,485,807.16
  5. Step 5: Solve for x
    x = 71,485,807.16/9,623.57
  6. Step 6: Final answer
    x = 7,428.20

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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.