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Finding the Fourth Proportional to 6,052.38, 9,070.05 and 4,814.28

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Solution

The fourth proportional to 6,052.38, 9,070.05 and 4,814.28 is: 7,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.38 : 9,070.05 = 4,814.28 : x
  2. Step 2: Convert to fraction form
    6,052.38/9,070.05 = 4,814.28/x
  3. Step 3: Cross multiply
    6,052.38x = 9,070.05 × 4,814.28
  4. Step 4: Simplify right side
    6,052.38x = 43,665,760.31
  5. Step 5: Solve for x
    x = 43,665,760.31/6,052.38
  6. Step 6: Final answer
    x = 7,214.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.