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Finding the Fourth Proportional to 9,901.94, 14,860.40 and 3,665.75

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Solution

The fourth proportional to 9,901.94, 14,860.40 and 3,665.75 is: 5,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.94 : 14,860.40 = 3,665.75 : x
  2. Step 2: Convert to fraction form
    9,901.94/14,860.40 = 3,665.75/x
  3. Step 3: Cross multiply
    9,901.94x = 14,860.40 × 3,665.75
  4. Step 4: Simplify right side
    9,901.94x = 54,474,418.67
  5. Step 5: Solve for x
    x = 54,474,418.67/9,901.94
  6. Step 6: Final answer
    x = 5,501.39

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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.