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Finding the Fourth Proportional to 9,986.77, 14,977.58 and 2,965.12

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Solution

The fourth proportional to 9,986.77, 14,977.58 and 2,965.12 is: 4,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.77 : 14,977.58 = 2,965.12 : x
  2. Step 2: Convert to fraction form
    9,986.77/14,977.58 = 2,965.12/x
  3. Step 3: Cross multiply
    9,986.77x = 14,977.58 × 2,965.12
  4. Step 4: Simplify right side
    9,986.77x = 44,410,307.18
  5. Step 5: Solve for x
    x = 44,410,307.18/9,986.77
  6. Step 6: Final answer
    x = 4,446.91

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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.