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Finding the Fourth Proportional to 10,714.16, 15,998.32 and 9,454.26

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Solution

The fourth proportional to 10,714.16, 15,998.32 and 9,454.26 is: 14,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.16 : 15,998.32 = 9,454.26 : x
  2. Step 2: Convert to fraction form
    10,714.16/15,998.32 = 9,454.26/x
  3. Step 3: Cross multiply
    10,714.16x = 15,998.32 × 9,454.26
  4. Step 4: Simplify right side
    10,714.16x = 151,252,276.84
  5. Step 5: Solve for x
    x = 151,252,276.84/10,714.16
  6. Step 6: Final answer
    x = 14,117.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.