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Finding the Fourth Proportional to 9,204.75, 12,702.56 and 5,013

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Solution

The fourth proportional to 9,204.75, 12,702.56 and 5,013 is: 6,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.75 : 12,702.56 = 5,013 : x
  2. Step 2: Convert to fraction form
    9,204.75/12,702.56 = 5,013/x
  3. Step 3: Cross multiply
    9,204.75x = 12,702.56 × 5,013
  4. Step 4: Simplify right side
    9,204.75x = 63,677,908.22
  5. Step 5: Solve for x
    x = 63,677,908.22/9,204.75
  6. Step 6: Final answer
    x = 6,917.94

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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.