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Finding the Fourth Proportional to 9,376.31, 14,045.91 and 7,623.26

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Solution

The fourth proportional to 9,376.31, 14,045.91 and 7,623.26 is: 11,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.31 : 14,045.91 = 7,623.26 : x
  2. Step 2: Convert to fraction form
    9,376.31/14,045.91 = 7,623.26/x
  3. Step 3: Cross multiply
    9,376.31x = 14,045.91 × 7,623.26
  4. Step 4: Simplify right side
    9,376.31x = 107,075,656.73
  5. Step 5: Solve for x
    x = 107,075,656.73/9,376.31
  6. Step 6: Final answer
    x = 11,419.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.