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Finding the Fourth Proportional to 34,209.56, 51,309.38 and 9,251.06

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Solution

The fourth proportional to 34,209.56, 51,309.38 and 9,251.06 is: 13,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,209.56 : 51,309.38 = 9,251.06 : x
  2. Step 2: Convert to fraction form
    34,209.56/51,309.38 = 9,251.06/x
  3. Step 3: Cross multiply
    34,209.56x = 51,309.38 × 9,251.06
  4. Step 4: Simplify right side
    34,209.56x = 474,666,152.94
  5. Step 5: Solve for x
    x = 474,666,152.94/34,209.56
  6. Step 6: Final answer
    x = 13,875.25

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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.