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Finding the Fourth Proportional to 10,402.39, 14,362.82 and 6,428.95

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Solution

The fourth proportional to 10,402.39, 14,362.82 and 6,428.95 is: 8,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.39 : 14,362.82 = 6,428.95 : x
  2. Step 2: Convert to fraction form
    10,402.39/14,362.82 = 6,428.95/x
  3. Step 3: Cross multiply
    10,402.39x = 14,362.82 × 6,428.95
  4. Step 4: Simplify right side
    10,402.39x = 92,337,851.64
  5. Step 5: Solve for x
    x = 92,337,851.64/10,402.39
  6. Step 6: Final answer
    x = 8,876.60

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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.