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Finding the Fourth Proportional to 9,872.09, 14,795.37 and 7,387.41

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Solution

The fourth proportional to 9,872.09, 14,795.37 and 7,387.41 is: 11,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.09 : 14,795.37 = 7,387.41 : x
  2. Step 2: Convert to fraction form
    9,872.09/14,795.37 = 7,387.41/x
  3. Step 3: Cross multiply
    9,872.09x = 14,795.37 × 7,387.41
  4. Step 4: Simplify right side
    9,872.09x = 109,299,464.29
  5. Step 5: Solve for x
    x = 109,299,464.29/9,872.09
  6. Step 6: Final answer
    x = 11,071.57

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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.