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Finding the Fourth Proportional to 9,525.71, 14,289.77 and 2,952.29

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Solution

The fourth proportional to 9,525.71, 14,289.77 and 2,952.29 is: 4,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.71 : 14,289.77 = 2,952.29 : x
  2. Step 2: Convert to fraction form
    9,525.71/14,289.77 = 2,952.29/x
  3. Step 3: Cross multiply
    9,525.71x = 14,289.77 × 2,952.29
  4. Step 4: Simplify right side
    9,525.71x = 42,187,481.01
  5. Step 5: Solve for x
    x = 42,187,481.01/9,525.71
  6. Step 6: Final answer
    x = 4,428.80

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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.