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Finding the Fourth Proportional to 9,095.40, 13,643.73 and 3,546.90

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Solution

The fourth proportional to 9,095.40, 13,643.73 and 3,546.90 is: 5,320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.40 : 13,643.73 = 3,546.90 : x
  2. Step 2: Convert to fraction form
    9,095.40/13,643.73 = 3,546.90/x
  3. Step 3: Cross multiply
    9,095.40x = 13,643.73 × 3,546.90
  4. Step 4: Simplify right side
    9,095.40x = 48,392,945.94
  5. Step 5: Solve for x
    x = 48,392,945.94/9,095.40
  6. Step 6: Final answer
    x = 5,320.60

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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.