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Finding the Fourth Proportional to 9,525.80, 14,288.70 and 3,977.30

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Solution

The fourth proportional to 9,525.80, 14,288.70 and 3,977.30 is: 5,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.80 : 14,288.70 = 3,977.30 : x
  2. Step 2: Convert to fraction form
    9,525.80/14,288.70 = 3,977.30/x
  3. Step 3: Cross multiply
    9,525.80x = 14,288.70 × 3,977.30
  4. Step 4: Simplify right side
    9,525.80x = 56,830,446.51
  5. Step 5: Solve for x
    x = 56,830,446.51/9,525.80
  6. Step 6: Final answer
    x = 5,965.95

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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.