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Finding the Fourth Proportional to 9,841.72, 14,765.64 and 5,892.36

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Solution

The fourth proportional to 9,841.72, 14,765.64 and 5,892.36 is: 8,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.72 : 14,765.64 = 5,892.36 : x
  2. Step 2: Convert to fraction form
    9,841.72/14,765.64 = 5,892.36/x
  3. Step 3: Cross multiply
    9,841.72x = 14,765.64 × 5,892.36
  4. Step 4: Simplify right side
    9,841.72x = 87,004,466.51
  5. Step 5: Solve for x
    x = 87,004,466.51/9,841.72
  6. Step 6: Final answer
    x = 8,840.37

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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.