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Finding the Fourth Proportional to 9,085.44, 13,640.40 and 4,706.40

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Solution

The fourth proportional to 9,085.44, 13,640.40 and 4,706.40 is: 7,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.44 : 13,640.40 = 4,706.40 : x
  2. Step 2: Convert to fraction form
    9,085.44/13,640.40 = 4,706.40/x
  3. Step 3: Cross multiply
    9,085.44x = 13,640.40 × 4,706.40
  4. Step 4: Simplify right side
    9,085.44x = 64,197,178.56
  5. Step 5: Solve for x
    x = 64,197,178.56/9,085.44
  6. Step 6: Final answer
    x = 7,065.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.