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Finding the Fourth Proportional to 6,567.13, 9,851.51 and 2,406.97

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Solution

The fourth proportional to 6,567.13, 9,851.51 and 2,406.97 is: 3,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.13 : 9,851.51 = 2,406.97 : x
  2. Step 2: Convert to fraction form
    6,567.13/9,851.51 = 2,406.97/x
  3. Step 3: Cross multiply
    6,567.13x = 9,851.51 × 2,406.97
  4. Step 4: Simplify right side
    6,567.13x = 23,712,289.02
  5. Step 5: Solve for x
    x = 23,712,289.02/6,567.13
  6. Step 6: Final answer
    x = 3,610.75

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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.