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Finding the Fourth Proportional to 10,398.29, 14,354.92 and 6,421.70

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Solution

The fourth proportional to 10,398.29, 14,354.92 and 6,421.70 is: 8,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.29 : 14,354.92 = 6,421.70 : x
  2. Step 2: Convert to fraction form
    10,398.29/14,354.92 = 6,421.70/x
  3. Step 3: Cross multiply
    10,398.29x = 14,354.92 × 6,421.70
  4. Step 4: Simplify right side
    10,398.29x = 92,183,059.65
  5. Step 5: Solve for x
    x = 92,183,059.65/10,398.29
  6. Step 6: Final answer
    x = 8,865.22

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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.