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Finding the Fourth Proportional to 6,354.46, 9,531.70 and 2,654.67

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Solution

The fourth proportional to 6,354.46, 9,531.70 and 2,654.67 is: 3,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.46 : 9,531.70 = 2,654.67 : x
  2. Step 2: Convert to fraction form
    6,354.46/9,531.70 = 2,654.67/x
  3. Step 3: Cross multiply
    6,354.46x = 9,531.70 × 2,654.67
  4. Step 4: Simplify right side
    6,354.46x = 25,303,547.15
  5. Step 5: Solve for x
    x = 25,303,547.15/6,354.46
  6. Step 6: Final answer
    x = 3,982.01

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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.