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Finding the Fourth Proportional to 10,714.16, 14,772.63 and 9,219.49

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Solution

The fourth proportional to 10,714.16, 14,772.63 and 9,219.49 is: 12,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.16 : 14,772.63 = 9,219.49 : x
  2. Step 2: Convert to fraction form
    10,714.16/14,772.63 = 9,219.49/x
  3. Step 3: Cross multiply
    10,714.16x = 14,772.63 × 9,219.49
  4. Step 4: Simplify right side
    10,714.16x = 136,196,059.35
  5. Step 5: Solve for x
    x = 136,196,059.35/10,714.16
  6. Step 6: Final answer
    x = 12,711.78

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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.