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Finding the Fourth Proportional to 10,772.84, 14,893.78 and 9,460.20

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Solution

The fourth proportional to 10,772.84, 14,893.78 and 9,460.20 is: 13,079.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.84 : 14,893.78 = 9,460.20 : x
  2. Step 2: Convert to fraction form
    10,772.84/14,893.78 = 9,460.20/x
  3. Step 3: Cross multiply
    10,772.84x = 14,893.78 × 9,460.20
  4. Step 4: Simplify right side
    10,772.84x = 140,898,137.56
  5. Step 5: Solve for x
    x = 140,898,137.56/10,772.84
  6. Step 6: Final answer
    x = 13,079.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.