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Finding the Fourth Proportional to 9,871.67, 14,813.34 and 3,636.07

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Solution

The fourth proportional to 9,871.67, 14,813.34 and 3,636.07 is: 5,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.67 : 14,813.34 = 3,636.07 : x
  2. Step 2: Convert to fraction form
    9,871.67/14,813.34 = 3,636.07/x
  3. Step 3: Cross multiply
    9,871.67x = 14,813.34 × 3,636.07
  4. Step 4: Simplify right side
    9,871.67x = 53,862,341.17
  5. Step 5: Solve for x
    x = 53,862,341.17/9,871.67
  6. Step 6: Final answer
    x = 5,456.25

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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.