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Finding the Fourth Proportional to 6,557.50, 9,049.35 and 3,613.50

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Solution

The fourth proportional to 6,557.50, 9,049.35 and 3,613.50 is: 4,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.50 : 9,049.35 = 3,613.50 : x
  2. Step 2: Convert to fraction form
    6,557.50/9,049.35 = 3,613.50/x
  3. Step 3: Cross multiply
    6,557.50x = 9,049.35 × 3,613.50
  4. Step 4: Simplify right side
    6,557.50x = 32,699,826.23
  5. Step 5: Solve for x
    x = 32,699,826.23/6,557.50
  6. Step 6: Final answer
    x = 4,986.63

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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.