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Finding the Fourth Proportional to 9,680.65, 14,484.29 and 5,734.02

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Solution

The fourth proportional to 9,680.65, 14,484.29 and 5,734.02 is: 8,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.65 : 14,484.29 = 5,734.02 : x
  2. Step 2: Convert to fraction form
    9,680.65/14,484.29 = 5,734.02/x
  3. Step 3: Cross multiply
    9,680.65x = 14,484.29 × 5,734.02
  4. Step 4: Simplify right side
    9,680.65x = 83,053,237.59
  5. Step 5: Solve for x
    x = 83,053,237.59/9,680.65
  6. Step 6: Final answer
    x = 8,579.31

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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.