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Finding the Fourth Proportional to 6,412.42, 8,855.13 and 4,718.98

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Solution

The fourth proportional to 6,412.42, 8,855.13 and 4,718.98 is: 6,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.42 : 8,855.13 = 4,718.98 : x
  2. Step 2: Convert to fraction form
    6,412.42/8,855.13 = 4,718.98/x
  3. Step 3: Cross multiply
    6,412.42x = 8,855.13 × 4,718.98
  4. Step 4: Simplify right side
    6,412.42x = 41,787,181.37
  5. Step 5: Solve for x
    x = 41,787,181.37/6,412.42
  6. Step 6: Final answer
    x = 6,516.60

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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.