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Finding the Fourth Proportional to 9,759.78, 14,639.67 and 2,364.23

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Solution

The fourth proportional to 9,759.78, 14,639.67 and 2,364.23 is: 3,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.78 : 14,639.67 = 2,364.23 : x
  2. Step 2: Convert to fraction form
    9,759.78/14,639.67 = 2,364.23/x
  3. Step 3: Cross multiply
    9,759.78x = 14,639.67 × 2,364.23
  4. Step 4: Simplify right side
    9,759.78x = 34,611,547.00
  5. Step 5: Solve for x
    x = 34,611,547.00/9,759.78
  6. Step 6: Final answer
    x = 3,546.35

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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.