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Finding the Fourth Proportional to 6,946.34, 9,586.07 and 4,960.28

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Solution

The fourth proportional to 6,946.34, 9,586.07 and 4,960.28 is: 6,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.34 : 9,586.07 = 4,960.28 : x
  2. Step 2: Convert to fraction form
    6,946.34/9,586.07 = 4,960.28/x
  3. Step 3: Cross multiply
    6,946.34x = 9,586.07 × 4,960.28
  4. Step 4: Simplify right side
    6,946.34x = 47,549,518.57
  5. Step 5: Solve for x
    x = 47,549,518.57/6,946.34
  6. Step 6: Final answer
    x = 6,845.27

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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.