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Finding the Fourth Proportional to 9,485.82, 14,228.71 and 2,465.24

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Solution

The fourth proportional to 9,485.82, 14,228.71 and 2,465.24 is: 3,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.82 : 14,228.71 = 2,465.24 : x
  2. Step 2: Convert to fraction form
    9,485.82/14,228.71 = 2,465.24/x
  3. Step 3: Cross multiply
    9,485.82x = 14,228.71 × 2,465.24
  4. Step 4: Simplify right side
    9,485.82x = 35,077,185.04
  5. Step 5: Solve for x
    x = 35,077,185.04/9,485.82
  6. Step 6: Final answer
    x = 3,697.85

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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.