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Finding the Fourth Proportional to 9,013.77, 12,435.17 and 5,235.72

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Solution

The fourth proportional to 9,013.77, 12,435.17 and 5,235.72 is: 7,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.77 : 12,435.17 = 5,235.72 : x
  2. Step 2: Convert to fraction form
    9,013.77/12,435.17 = 5,235.72/x
  3. Step 3: Cross multiply
    9,013.77x = 12,435.17 × 5,235.72
  4. Step 4: Simplify right side
    9,013.77x = 65,107,042.09
  5. Step 5: Solve for x
    x = 65,107,042.09/9,013.77
  6. Step 6: Final answer
    x = 7,223.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.