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Finding the Fourth Proportional to 10,090.17, 13,926.17 and 6,314.85

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Solution

The fourth proportional to 10,090.17, 13,926.17 and 6,314.85 is: 8,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.17 : 13,926.17 = 6,314.85 : x
  2. Step 2: Convert to fraction form
    10,090.17/13,926.17 = 6,314.85/x
  3. Step 3: Cross multiply
    10,090.17x = 13,926.17 × 6,314.85
  4. Step 4: Simplify right side
    10,090.17x = 87,941,643.05
  5. Step 5: Solve for x
    x = 87,941,643.05/10,090.17
  6. Step 6: Final answer
    x = 8,715.58

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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.