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Finding the Fourth Proportional to 9,985.94, 14,977.61 and 2,965.81

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Solution

The fourth proportional to 9,985.94, 14,977.61 and 2,965.81 is: 4,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.94 : 14,977.61 = 2,965.81 : x
  2. Step 2: Convert to fraction form
    9,985.94/14,977.61 = 2,965.81/x
  3. Step 3: Cross multiply
    9,985.94x = 14,977.61 × 2,965.81
  4. Step 4: Simplify right side
    9,985.94x = 44,420,730.69
  5. Step 5: Solve for x
    x = 44,420,730.69/9,985.94
  6. Step 6: Final answer
    x = 4,448.33

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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.