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Finding the Fourth Proportional to 6,416.20, 8,854.98 and 3,897.76

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Solution

The fourth proportional to 6,416.20, 8,854.98 and 3,897.76 is: 5,379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.20 : 8,854.98 = 3,897.76 : x
  2. Step 2: Convert to fraction form
    6,416.20/8,854.98 = 3,897.76/x
  3. Step 3: Cross multiply
    6,416.20x = 8,854.98 × 3,897.76
  4. Step 4: Simplify right side
    6,416.20x = 34,514,586.84
  5. Step 5: Solve for x
    x = 34,514,586.84/6,416.20
  6. Step 6: Final answer
    x = 5,379.29

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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.