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Finding the Fourth Proportional to 9,785.25, 13,503.88 and 5,806.40

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Solution

The fourth proportional to 9,785.25, 13,503.88 and 5,806.40 is: 8,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.25 : 13,503.88 = 5,806.40 : x
  2. Step 2: Convert to fraction form
    9,785.25/13,503.88 = 5,806.40/x
  3. Step 3: Cross multiply
    9,785.25x = 13,503.88 × 5,806.40
  4. Step 4: Simplify right side
    9,785.25x = 78,408,868.57
  5. Step 5: Solve for x
    x = 78,408,868.57/9,785.25
  6. Step 6: Final answer
    x = 8,012.97

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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.