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Finding the Fourth Proportional to 6,206.52, 9,289.56 and 4,562.64

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Solution

The fourth proportional to 6,206.52, 9,289.56 and 4,562.64 is: 6,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.52 : 9,289.56 = 4,562.64 : x
  2. Step 2: Convert to fraction form
    6,206.52/9,289.56 = 4,562.64/x
  3. Step 3: Cross multiply
    6,206.52x = 9,289.56 × 4,562.64
  4. Step 4: Simplify right side
    6,206.52x = 42,384,918.04
  5. Step 5: Solve for x
    x = 42,384,918.04/6,206.52
  6. Step 6: Final answer
    x = 6,829.10

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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.