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Finding the Fourth Proportional to 28,233.97, 42,344.06 and 9,509.13

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Solution

The fourth proportional to 28,233.97, 42,344.06 and 9,509.13 is: 14,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,233.97 : 42,344.06 = 9,509.13 : x
  2. Step 2: Convert to fraction form
    28,233.97/42,344.06 = 9,509.13/x
  3. Step 3: Cross multiply
    28,233.97x = 42,344.06 × 9,509.13
  4. Step 4: Simplify right side
    28,233.97x = 402,655,171.27
  5. Step 5: Solve for x
    x = 402,655,171.27/28,233.97
  6. Step 6: Final answer
    x = 14,261.37

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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.