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Finding the Fourth Proportional to 9,971.22, 13,747.51 and 8,172.08

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Solution

The fourth proportional to 9,971.22, 13,747.51 and 8,172.08 is: 11,267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.22 : 13,747.51 = 8,172.08 : x
  2. Step 2: Convert to fraction form
    9,971.22/13,747.51 = 8,172.08/x
  3. Step 3: Cross multiply
    9,971.22x = 13,747.51 × 8,172.08
  4. Step 4: Simplify right side
    9,971.22x = 112,345,751.52
  5. Step 5: Solve for x
    x = 112,345,751.52/9,971.22
  6. Step 6: Final answer
    x = 11,267.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.