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Finding the Fourth Proportional to 10,398.20, 14,353.62 and 6,420.92

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Solution

The fourth proportional to 10,398.20, 14,353.62 and 6,420.92 is: 8,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.20 : 14,353.62 = 6,420.92 : x
  2. Step 2: Convert to fraction form
    10,398.20/14,353.62 = 6,420.92/x
  3. Step 3: Cross multiply
    10,398.20x = 14,353.62 × 6,420.92
  4. Step 4: Simplify right side
    10,398.20x = 92,163,445.73
  5. Step 5: Solve for x
    x = 92,163,445.73/10,398.20
  6. Step 6: Final answer
    x = 8,863.40

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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.