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Finding the Fourth Proportional to 10,090.83, 13,918.47 and 9,254.31

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Solution

The fourth proportional to 10,090.83, 13,918.47 and 9,254.31 is: 12,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.83 : 13,918.47 = 9,254.31 : x
  2. Step 2: Convert to fraction form
    10,090.83/13,918.47 = 9,254.31/x
  3. Step 3: Cross multiply
    10,090.83x = 13,918.47 × 9,254.31
  4. Step 4: Simplify right side
    10,090.83x = 128,805,836.11
  5. Step 5: Solve for x
    x = 128,805,836.11/10,090.83
  6. Step 6: Final answer
    x = 12,764.64

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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.