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Finding the Fourth Proportional to 6,200.09, 9,312.72 and 5,476.10

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Solution

The fourth proportional to 6,200.09, 9,312.72 and 5,476.10 is: 8,225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.09 : 9,312.72 = 5,476.10 : x
  2. Step 2: Convert to fraction form
    6,200.09/9,312.72 = 5,476.10/x
  3. Step 3: Cross multiply
    6,200.09x = 9,312.72 × 5,476.10
  4. Step 4: Simplify right side
    6,200.09x = 50,997,358.61
  5. Step 5: Solve for x
    x = 50,997,358.61/6,200.09
  6. Step 6: Final answer
    x = 8,225.27

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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.