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Finding the Fourth Proportional to 9,890.29, 13,642.46 and 6,114.61

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Solution

The fourth proportional to 9,890.29, 13,642.46 and 6,114.61 is: 8,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.29 : 13,642.46 = 6,114.61 : x
  2. Step 2: Convert to fraction form
    9,890.29/13,642.46 = 6,114.61/x
  3. Step 3: Cross multiply
    9,890.29x = 13,642.46 × 6,114.61
  4. Step 4: Simplify right side
    9,890.29x = 83,418,291.77
  5. Step 5: Solve for x
    x = 83,418,291.77/9,890.29
  6. Step 6: Final answer
    x = 8,434.36

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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.