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Finding the Fourth Proportional to 6,814.28, 9,402 and 4,160.72

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Solution

The fourth proportional to 6,814.28, 9,402 and 4,160.72 is: 5,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.28 : 9,402 = 4,160.72 : x
  2. Step 2: Convert to fraction form
    6,814.28/9,402 = 4,160.72/x
  3. Step 3: Cross multiply
    6,814.28x = 9,402 × 4,160.72
  4. Step 4: Simplify right side
    6,814.28x = 39,119,089.44
  5. Step 5: Solve for x
    x = 39,119,089.44/6,814.28
  6. Step 6: Final answer
    x = 5,740.75

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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.