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Finding the Fourth Proportional to 9,235.34, 13,853.03 and 3,689.13

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Solution

The fourth proportional to 9,235.34, 13,853.03 and 3,689.13 is: 5,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.34 : 13,853.03 = 3,689.13 : x
  2. Step 2: Convert to fraction form
    9,235.34/13,853.03 = 3,689.13/x
  3. Step 3: Cross multiply
    9,235.34x = 13,853.03 × 3,689.13
  4. Step 4: Simplify right side
    9,235.34x = 51,105,610.12
  5. Step 5: Solve for x
    x = 51,105,610.12/9,235.34
  6. Step 6: Final answer
    x = 5,533.70

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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.