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Finding the Fourth Proportional to 6,206.69, 9,313.11 and 4,570.49

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Solution

The fourth proportional to 6,206.69, 9,313.11 and 4,570.49 is: 6,858.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.69 : 9,313.11 = 4,570.49 : x
  2. Step 2: Convert to fraction form
    6,206.69/9,313.11 = 4,570.49/x
  3. Step 3: Cross multiply
    6,206.69x = 9,313.11 × 4,570.49
  4. Step 4: Simplify right side
    6,206.69x = 42,565,499.41
  5. Step 5: Solve for x
    x = 42,565,499.41/6,206.69
  6. Step 6: Final answer
    x = 6,858.00

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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.