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Finding the Fourth Proportional to 9,235.30, 13,852.86 and 7,377.70

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Solution

The fourth proportional to 9,235.30, 13,852.86 and 7,377.70 is: 11,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.30 : 13,852.86 = 7,377.70 : x
  2. Step 2: Convert to fraction form
    9,235.30/13,852.86 = 7,377.70/x
  3. Step 3: Cross multiply
    9,235.30x = 13,852.86 × 7,377.70
  4. Step 4: Simplify right side
    9,235.30x = 102,202,245.22
  5. Step 5: Solve for x
    x = 102,202,245.22/9,235.30
  6. Step 6: Final answer
    x = 11,066.48

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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.