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Finding the Fourth Proportional to 9,402.82, 12,976.02 and 5,153.82

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Solution

The fourth proportional to 9,402.82, 12,976.02 and 5,153.82 is: 7,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.82 : 12,976.02 = 5,153.82 : x
  2. Step 2: Convert to fraction form
    9,402.82/12,976.02 = 5,153.82/x
  3. Step 3: Cross multiply
    9,402.82x = 12,976.02 × 5,153.82
  4. Step 4: Simplify right side
    9,402.82x = 66,876,071.40
  5. Step 5: Solve for x
    x = 66,876,071.40/9,402.82
  6. Step 6: Final answer
    x = 7,112.34

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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.