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Finding the Fourth Proportional to 6,506.01, 8,975.84 and 4,269.11

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Solution

The fourth proportional to 6,506.01, 8,975.84 and 4,269.11 is: 5,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.01 : 8,975.84 = 4,269.11 : x
  2. Step 2: Convert to fraction form
    6,506.01/8,975.84 = 4,269.11/x
  3. Step 3: Cross multiply
    6,506.01x = 8,975.84 × 4,269.11
  4. Step 4: Simplify right side
    6,506.01x = 38,318,782.08
  5. Step 5: Solve for x
    x = 38,318,782.08/6,506.01
  6. Step 6: Final answer
    x = 5,889.75

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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.