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Finding the Fourth Proportional to 10,394.83, 14,343.18 and 6,417.23

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Solution

The fourth proportional to 10,394.83, 14,343.18 and 6,417.23 is: 8,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.83 : 14,343.18 = 6,417.23 : x
  2. Step 2: Convert to fraction form
    10,394.83/14,343.18 = 6,417.23/x
  3. Step 3: Cross multiply
    10,394.83x = 14,343.18 × 6,417.23
  4. Step 4: Simplify right side
    10,394.83x = 92,043,389.21
  5. Step 5: Solve for x
    x = 92,043,389.21/10,394.83
  6. Step 6: Final answer
    x = 8,854.73

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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.