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Finding the Fourth Proportional to 6,214.77, 8,574.45 and 3,561.66

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Solution

The fourth proportional to 6,214.77, 8,574.45 and 3,561.66 is: 4,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.77 : 8,574.45 = 3,561.66 : x
  2. Step 2: Convert to fraction form
    6,214.77/8,574.45 = 3,561.66/x
  3. Step 3: Cross multiply
    6,214.77x = 8,574.45 × 3,561.66
  4. Step 4: Simplify right side
    6,214.77x = 30,539,275.59
  5. Step 5: Solve for x
    x = 30,539,275.59/6,214.77
  6. Step 6: Final answer
    x = 4,913.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.