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Finding the Fourth Proportional to 6,880.32, 9,494.88 and 4,085.76

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Solution

The fourth proportional to 6,880.32, 9,494.88 and 4,085.76 is: 5,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.32 : 9,494.88 = 4,085.76 : x
  2. Step 2: Convert to fraction form
    6,880.32/9,494.88 = 4,085.76/x
  3. Step 3: Cross multiply
    6,880.32x = 9,494.88 × 4,085.76
  4. Step 4: Simplify right side
    6,880.32x = 38,793,800.91
  5. Step 5: Solve for x
    x = 38,793,800.91/6,880.32
  6. Step 6: Final answer
    x = 5,638.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.