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Finding the Fourth Proportional to 9,394.62, 14,085.26 and 4,711.25

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Solution

The fourth proportional to 9,394.62, 14,085.26 and 4,711.25 is: 7,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.62 : 14,085.26 = 4,711.25 : x
  2. Step 2: Convert to fraction form
    9,394.62/14,085.26 = 4,711.25/x
  3. Step 3: Cross multiply
    9,394.62x = 14,085.26 × 4,711.25
  4. Step 4: Simplify right side
    9,394.62x = 66,359,210.50
  5. Step 5: Solve for x
    x = 66,359,210.50/9,394.62
  6. Step 6: Final answer
    x = 7,063.53

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Why These Related Problems?

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