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Finding the Fourth Proportional to 9,763.96, 14,641.05 and 3,189.40

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Solution

The fourth proportional to 9,763.96, 14,641.05 and 3,189.40 is: 4,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.96 : 14,641.05 = 3,189.40 : x
  2. Step 2: Convert to fraction form
    9,763.96/14,641.05 = 3,189.40/x
  3. Step 3: Cross multiply
    9,763.96x = 14,641.05 × 3,189.40
  4. Step 4: Simplify right side
    9,763.96x = 46,696,164.87
  5. Step 5: Solve for x
    x = 46,696,164.87/9,763.96
  6. Step 6: Final answer
    x = 4,782.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.