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Finding the Fourth Proportional to 9,917.14, 14,875.30 and 3,343.30

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Solution

The fourth proportional to 9,917.14, 14,875.30 and 3,343.30 is: 5,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.14 : 14,875.30 = 3,343.30 : x
  2. Step 2: Convert to fraction form
    9,917.14/14,875.30 = 3,343.30/x
  3. Step 3: Cross multiply
    9,917.14x = 14,875.30 × 3,343.30
  4. Step 4: Simplify right side
    9,917.14x = 49,732,590.49
  5. Step 5: Solve for x
    x = 49,732,590.49/9,917.14
  6. Step 6: Final answer
    x = 5,014.81

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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.