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Finding the Fourth Proportional to 10,105.67, 13,945.62 and 6,918.88

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Solution

The fourth proportional to 10,105.67, 13,945.62 and 6,918.88 is: 9,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.67 : 13,945.62 = 6,918.88 : x
  2. Step 2: Convert to fraction form
    10,105.67/13,945.62 = 6,918.88/x
  3. Step 3: Cross multiply
    10,105.67x = 13,945.62 × 6,918.88
  4. Step 4: Simplify right side
    10,105.67x = 96,488,071.31
  5. Step 5: Solve for x
    x = 96,488,071.31/10,105.67
  6. Step 6: Final answer
    x = 9,547.91

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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.