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Finding the Fourth Proportional to 28,234.09, 42,344.25 and 9,509.25

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Solution

The fourth proportional to 28,234.09, 42,344.25 and 9,509.25 is: 14,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.09 : 42,344.25 = 9,509.25 : x
  2. Step 2: Convert to fraction form
    28,234.09/42,344.25 = 9,509.25/x
  3. Step 3: Cross multiply
    28,234.09x = 42,344.25 × 9,509.25
  4. Step 4: Simplify right side
    28,234.09x = 402,662,059.31
  5. Step 5: Solve for x
    x = 402,662,059.31/28,234.09
  6. Step 6: Final answer
    x = 14,261.56

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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.