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Finding the Fourth Proportional to 9,672.96, 14,512.80 and 5,059.20

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Solution

The fourth proportional to 9,672.96, 14,512.80 and 5,059.20 is: 7,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.96 : 14,512.80 = 5,059.20 : x
  2. Step 2: Convert to fraction form
    9,672.96/14,512.80 = 5,059.20/x
  3. Step 3: Cross multiply
    9,672.96x = 14,512.80 × 5,059.20
  4. Step 4: Simplify right side
    9,672.96x = 73,423,157.76
  5. Step 5: Solve for x
    x = 73,423,157.76/9,672.96
  6. Step 6: Final answer
    x = 7,590.56

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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.