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Finding the Fourth Proportional to 10,397.82, 14,347.32 and 6,420.24

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Solution

The fourth proportional to 10,397.82, 14,347.32 and 6,420.24 is: 8,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.82 : 14,347.32 = 6,420.24 : x
  2. Step 2: Convert to fraction form
    10,397.82/14,347.32 = 6,420.24/x
  3. Step 3: Cross multiply
    10,397.82x = 14,347.32 × 6,420.24
  4. Step 4: Simplify right side
    10,397.82x = 92,113,237.76
  5. Step 5: Solve for x
    x = 92,113,237.76/10,397.82
  6. Step 6: Final answer
    x = 8,858.90

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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.