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Finding the Fourth Proportional to 10,381.43, 14,341.98 and 6,804.88

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Solution

The fourth proportional to 10,381.43, 14,341.98 and 6,804.88 is: 9,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.43 : 14,341.98 = 6,804.88 : x
  2. Step 2: Convert to fraction form
    10,381.43/14,341.98 = 6,804.88/x
  3. Step 3: Cross multiply
    10,381.43x = 14,341.98 × 6,804.88
  4. Step 4: Simplify right side
    10,381.43x = 97,595,381.15
  5. Step 5: Solve for x
    x = 97,595,381.15/10,381.43
  6. Step 6: Final answer
    x = 9,400.96

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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.