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Finding the Fourth Proportional to 9,732.80, 14,602.80 and 3,159.20

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Solution

The fourth proportional to 9,732.80, 14,602.80 and 3,159.20 is: 4,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.80 : 14,602.80 = 3,159.20 : x
  2. Step 2: Convert to fraction form
    9,732.80/14,602.80 = 3,159.20/x
  3. Step 3: Cross multiply
    9,732.80x = 14,602.80 × 3,159.20
  4. Step 4: Simplify right side
    9,732.80x = 46,133,165.76
  5. Step 5: Solve for x
    x = 46,133,165.76/9,732.80
  6. Step 6: Final answer
    x = 4,739.97

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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.