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Finding the Fourth Proportional to 10,090.94, 13,918.05 and 6,948.14

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Solution

The fourth proportional to 10,090.94, 13,918.05 and 6,948.14 is: 9,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.94 : 13,918.05 = 6,948.14 : x
  2. Step 2: Convert to fraction form
    10,090.94/13,918.05 = 6,948.14/x
  3. Step 3: Cross multiply
    10,090.94x = 13,918.05 × 6,948.14
  4. Step 4: Simplify right side
    10,090.94x = 96,704,559.93
  5. Step 5: Solve for x
    x = 96,704,559.93/10,090.94
  6. Step 6: Final answer
    x = 9,583.31

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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.