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Finding the Fourth Proportional to 8,569.44, 12,852.36 and 2,412

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Solution

The fourth proportional to 8,569.44, 12,852.36 and 2,412 is: 3,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.44 : 12,852.36 = 2,412 : x
  2. Step 2: Convert to fraction form
    8,569.44/12,852.36 = 2,412/x
  3. Step 3: Cross multiply
    8,569.44x = 12,852.36 × 2,412
  4. Step 4: Simplify right side
    8,569.44x = 30,999,892.32
  5. Step 5: Solve for x
    x = 30,999,892.32/8,569.44
  6. Step 6: Final answer
    x = 3,617.49

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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.