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Finding the Fourth Proportional to 9,352.56, 14,029.68 and 4,969.92

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Solution

The fourth proportional to 9,352.56, 14,029.68 and 4,969.92 is: 7,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.56 : 14,029.68 = 4,969.92 : x
  2. Step 2: Convert to fraction form
    9,352.56/14,029.68 = 4,969.92/x
  3. Step 3: Cross multiply
    9,352.56x = 14,029.68 × 4,969.92
  4. Step 4: Simplify right side
    9,352.56x = 69,726,387.23
  5. Step 5: Solve for x
    x = 69,726,387.23/9,352.56
  6. Step 6: Final answer
    x = 7,455.33

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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.