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Finding the Fourth Proportional to 6,596.14, 9,894.88 and 2,437.24

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Solution

The fourth proportional to 6,596.14, 9,894.88 and 2,437.24 is: 3,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.14 : 9,894.88 = 2,437.24 : x
  2. Step 2: Convert to fraction form
    6,596.14/9,894.88 = 2,437.24/x
  3. Step 3: Cross multiply
    6,596.14x = 9,894.88 × 2,437.24
  4. Step 4: Simplify right side
    6,596.14x = 24,116,197.33
  5. Step 5: Solve for x
    x = 24,116,197.33/6,596.14
  6. Step 6: Final answer
    x = 3,656.11

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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.