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Finding the Fourth Proportional to 9,205.05, 12,702.97 and 5,013.30

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Solution

The fourth proportional to 9,205.05, 12,702.97 and 5,013.30 is: 6,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.05 : 12,702.97 = 5,013.30 : x
  2. Step 2: Convert to fraction form
    9,205.05/12,702.97 = 5,013.30/x
  3. Step 3: Cross multiply
    9,205.05x = 12,702.97 × 5,013.30
  4. Step 4: Simplify right side
    9,205.05x = 63,683,771.49
  5. Step 5: Solve for x
    x = 63,683,771.49/9,205.05
  6. Step 6: Final answer
    x = 6,918.35

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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.