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Finding the Fourth Proportional to 7,186.80, 9,917.46 and 4,354.14

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Solution

The fourth proportional to 7,186.80, 9,917.46 and 4,354.14 is: 6,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.80 : 9,917.46 = 4,354.14 : x
  2. Step 2: Convert to fraction form
    7,186.80/9,917.46 = 4,354.14/x
  3. Step 3: Cross multiply
    7,186.80x = 9,917.46 × 4,354.14
  4. Step 4: Simplify right side
    7,186.80x = 43,182,009.28
  5. Step 5: Solve for x
    x = 43,182,009.28/7,186.80
  6. Step 6: Final answer
    x = 6,008.52

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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.