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Finding the Fourth Proportional to 9,890.17, 13,642.28 and 6,114.49

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Solution

The fourth proportional to 9,890.17, 13,642.28 and 6,114.49 is: 8,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.17 : 13,642.28 = 6,114.49 : x
  2. Step 2: Convert to fraction form
    9,890.17/13,642.28 = 6,114.49/x
  3. Step 3: Cross multiply
    9,890.17x = 13,642.28 × 6,114.49
  4. Step 4: Simplify right side
    9,890.17x = 83,415,516.43
  5. Step 5: Solve for x
    x = 83,415,516.43/9,890.17
  6. Step 6: Final answer
    x = 8,434.19

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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.