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Finding the Fourth Proportional to 9,059.40, 13,591.12 and 4,127.72

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Solution

The fourth proportional to 9,059.40, 13,591.12 and 4,127.72 is: 6,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059.40 : 13,591.12 = 4,127.72 : x
  2. Step 2: Convert to fraction form
    9,059.40/13,591.12 = 4,127.72/x
  3. Step 3: Cross multiply
    9,059.40x = 13,591.12 × 4,127.72
  4. Step 4: Simplify right side
    9,059.40x = 56,100,337.85
  5. Step 5: Solve for x
    x = 56,100,337.85/9,059.40
  6. Step 6: Final answer
    x = 6,192.50

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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.