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Finding the Fourth Proportional to 6,472.16, 8,934 and 4,911.60

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Solution

The fourth proportional to 6,472.16, 8,934 and 4,911.60 is: 6,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.16 : 8,934 = 4,911.60 : x
  2. Step 2: Convert to fraction form
    6,472.16/8,934 = 4,911.60/x
  3. Step 3: Cross multiply
    6,472.16x = 8,934 × 4,911.60
  4. Step 4: Simplify right side
    6,472.16x = 43,880,234.40
  5. Step 5: Solve for x
    x = 43,880,234.40/6,472.16
  6. Step 6: Final answer
    x = 6,779.84

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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.