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Finding the Fourth Proportional to 6,567.86, 9,852.86 and 2,619.12

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Solution

The fourth proportional to 6,567.86, 9,852.86 and 2,619.12 is: 3,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.86 : 9,852.86 = 2,619.12 : x
  2. Step 2: Convert to fraction form
    6,567.86/9,852.86 = 2,619.12/x
  3. Step 3: Cross multiply
    6,567.86x = 9,852.86 × 2,619.12
  4. Step 4: Simplify right side
    6,567.86x = 25,805,822.68
  5. Step 5: Solve for x
    x = 25,805,822.68/6,567.86
  6. Step 6: Final answer
    x = 3,929.11

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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.