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Finding the Fourth Proportional to 9,453.06, 14,189.24 and 7,804.35

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Solution

The fourth proportional to 9,453.06, 14,189.24 and 7,804.35 is: 11,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.06 : 14,189.24 = 7,804.35 : x
  2. Step 2: Convert to fraction form
    9,453.06/14,189.24 = 7,804.35/x
  3. Step 3: Cross multiply
    9,453.06x = 14,189.24 × 7,804.35
  4. Step 4: Simplify right side
    9,453.06x = 110,737,814.70
  5. Step 5: Solve for x
    x = 110,737,814.70/9,453.06
  6. Step 6: Final answer
    x = 11,714.49

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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.