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Finding the Fourth Proportional to 9,971.34, 13,760.62 and 5,495.06

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Solution

The fourth proportional to 9,971.34, 13,760.62 and 5,495.06 is: 7,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.34 : 13,760.62 = 5,495.06 : x
  2. Step 2: Convert to fraction form
    9,971.34/13,760.62 = 5,495.06/x
  3. Step 3: Cross multiply
    9,971.34x = 13,760.62 × 5,495.06
  4. Step 4: Simplify right side
    9,971.34x = 75,615,432.54
  5. Step 5: Solve for x
    x = 75,615,432.54/9,971.34
  6. Step 6: Final answer
    x = 7,583.28

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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.