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Finding the Fourth Proportional to 6,701.85, 9,242.50 and 4,184.19

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Solution

The fourth proportional to 6,701.85, 9,242.50 and 4,184.19 is: 5,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.85 : 9,242.50 = 4,184.19 : x
  2. Step 2: Convert to fraction form
    6,701.85/9,242.50 = 4,184.19/x
  3. Step 3: Cross multiply
    6,701.85x = 9,242.50 × 4,184.19
  4. Step 4: Simplify right side
    6,701.85x = 38,672,376.08
  5. Step 5: Solve for x
    x = 38,672,376.08/6,701.85
  6. Step 6: Final answer
    x = 5,770.40

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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.