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Finding the Fourth Proportional to 10,094.71, 15,107.64 and 9,218.29

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Solution

The fourth proportional to 10,094.71, 15,107.64 and 9,218.29 is: 13,796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.71 : 15,107.64 = 9,218.29 : x
  2. Step 2: Convert to fraction form
    10,094.71/15,107.64 = 9,218.29/x
  3. Step 3: Cross multiply
    10,094.71x = 15,107.64 × 9,218.29
  4. Step 4: Simplify right side
    10,094.71x = 139,266,606.74
  5. Step 5: Solve for x
    x = 139,266,606.74/10,094.71
  6. Step 6: Final answer
    x = 13,796.00

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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.