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Finding the Fourth Proportional to 9,837.09, 14,761.03 and 4,642.83

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Solution

The fourth proportional to 9,837.09, 14,761.03 and 4,642.83 is: 6,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.09 : 14,761.03 = 4,642.83 : x
  2. Step 2: Convert to fraction form
    9,837.09/14,761.03 = 4,642.83/x
  3. Step 3: Cross multiply
    9,837.09x = 14,761.03 × 4,642.83
  4. Step 4: Simplify right side
    9,837.09x = 68,532,952.91
  5. Step 5: Solve for x
    x = 68,532,952.91/9,837.09
  6. Step 6: Final answer
    x = 6,966.79

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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.