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Finding the Fourth Proportional to 6,570.28, 9,838.17 and 5,247.94

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Solution

The fourth proportional to 6,570.28, 9,838.17 and 5,247.94 is: 7,858.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.28 : 9,838.17 = 5,247.94 : x
  2. Step 2: Convert to fraction form
    6,570.28/9,838.17 = 5,247.94/x
  3. Step 3: Cross multiply
    6,570.28x = 9,838.17 × 5,247.94
  4. Step 4: Simplify right side
    6,570.28x = 51,630,125.87
  5. Step 5: Solve for x
    x = 51,630,125.87/6,570.28
  6. Step 6: Final answer
    x = 7,858.13

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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.