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Finding the Fourth Proportional to 9,971.34, 13,760.54 and 5,495.25

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Solution

The fourth proportional to 9,971.34, 13,760.54 and 5,495.25 is: 7,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.34 : 13,760.54 = 5,495.25 : x
  2. Step 2: Convert to fraction form
    9,971.34/13,760.54 = 5,495.25/x
  3. Step 3: Cross multiply
    9,971.34x = 13,760.54 × 5,495.25
  4. Step 4: Simplify right side
    9,971.34x = 75,617,579.96
  5. Step 5: Solve for x
    x = 75,617,579.96/9,971.34
  6. Step 6: Final answer
    x = 7,583.50

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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.