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Finding the Fourth Proportional to 6,567.10, 9,852.48 and 3,647.45

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Solution

The fourth proportional to 6,567.10, 9,852.48 and 3,647.45 is: 5,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.10 : 9,852.48 = 3,647.45 : x
  2. Step 2: Convert to fraction form
    6,567.10/9,852.48 = 3,647.45/x
  3. Step 3: Cross multiply
    6,567.10x = 9,852.48 × 3,647.45
  4. Step 4: Simplify right side
    6,567.10x = 35,936,452.81
  5. Step 5: Solve for x
    x = 35,936,452.81/6,567.10
  6. Step 6: Final answer
    x = 5,472.20

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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.