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Finding the Fourth Proportional to 9,759.70, 14,639.55 and 3,184.30

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Solution

The fourth proportional to 9,759.70, 14,639.55 and 3,184.30 is: 4,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.70 : 14,639.55 = 3,184.30 : x
  2. Step 2: Convert to fraction form
    9,759.70/14,639.55 = 3,184.30/x
  3. Step 3: Cross multiply
    9,759.70x = 14,639.55 × 3,184.30
  4. Step 4: Simplify right side
    9,759.70x = 46,616,719.07
  5. Step 5: Solve for x
    x = 46,616,719.07/9,759.70
  6. Step 6: Final answer
    x = 4,776.45

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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.