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Finding the Fourth Proportional to 6,814.14, 9,403.11 and 5,045.10

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Solution

The fourth proportional to 6,814.14, 9,403.11 and 5,045.10 is: 6,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.14 : 9,403.11 = 5,045.10 : x
  2. Step 2: Convert to fraction form
    6,814.14/9,403.11 = 5,045.10/x
  3. Step 3: Cross multiply
    6,814.14x = 9,403.11 × 5,045.10
  4. Step 4: Simplify right side
    6,814.14x = 47,439,630.26
  5. Step 5: Solve for x
    x = 47,439,630.26/6,814.14
  6. Step 6: Final answer
    x = 6,961.94

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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.