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Finding the Fourth Proportional to 9,759.60, 14,639.44 and 2,364.05

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Solution

The fourth proportional to 9,759.60, 14,639.44 and 2,364.05 is: 3,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.60 : 14,639.44 = 2,364.05 : x
  2. Step 2: Convert to fraction form
    9,759.60/14,639.44 = 2,364.05/x
  3. Step 3: Cross multiply
    9,759.60x = 14,639.44 × 2,364.05
  4. Step 4: Simplify right side
    9,759.60x = 34,608,368.13
  5. Step 5: Solve for x
    x = 34,608,368.13/9,759.60
  6. Step 6: Final answer
    x = 3,546.08

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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.