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Finding the Fourth Proportional to 8,970.84, 13,431.51 and 6,772.86

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Solution

The fourth proportional to 8,970.84, 13,431.51 and 6,772.86 is: 10,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.84 : 13,431.51 = 6,772.86 : x
  2. Step 2: Convert to fraction form
    8,970.84/13,431.51 = 6,772.86/x
  3. Step 3: Cross multiply
    8,970.84x = 13,431.51 × 6,772.86
  4. Step 4: Simplify right side
    8,970.84x = 90,969,736.82
  5. Step 5: Solve for x
    x = 90,969,736.82/8,970.84
  6. Step 6: Final answer
    x = 10,140.60

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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.