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Finding the Fourth Proportional to 9,605.75, 14,405.16 and 4,059.52

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Solution

The fourth proportional to 9,605.75, 14,405.16 and 4,059.52 is: 6,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.75 : 14,405.16 = 4,059.52 : x
  2. Step 2: Convert to fraction form
    9,605.75/14,405.16 = 4,059.52/x
  3. Step 3: Cross multiply
    9,605.75x = 14,405.16 × 4,059.52
  4. Step 4: Simplify right side
    9,605.75x = 58,478,050.84
  5. Step 5: Solve for x
    x = 58,478,050.84/9,605.75
  6. Step 6: Final answer
    x = 6,087.82

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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.