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Finding the Fourth Proportional to 9,642.31, 14,461.84 and 2,715.19

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Solution

The fourth proportional to 9,642.31, 14,461.84 and 2,715.19 is: 4,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.31 : 14,461.84 = 2,715.19 : x
  2. Step 2: Convert to fraction form
    9,642.31/14,461.84 = 2,715.19/x
  3. Step 3: Cross multiply
    9,642.31x = 14,461.84 × 2,715.19
  4. Step 4: Simplify right side
    9,642.31x = 39,266,610.59
  5. Step 5: Solve for x
    x = 39,266,610.59/9,642.31
  6. Step 6: Final answer
    x = 4,072.33

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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.