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Finding the Fourth Proportional to 9,997.47, 13,796.13 and 5,460

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Solution

The fourth proportional to 9,997.47, 13,796.13 and 5,460 is: 7,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.47 : 13,796.13 = 5,460 : x
  2. Step 2: Convert to fraction form
    9,997.47/13,796.13 = 5,460/x
  3. Step 3: Cross multiply
    9,997.47x = 13,796.13 × 5,460
  4. Step 4: Simplify right side
    9,997.47x = 75,326,883.45
  5. Step 5: Solve for x
    x = 75,326,883.45/9,997.47
  6. Step 6: Final answer
    x = 7,534.59

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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.