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Finding the Fourth Proportional to 9,609.57, 14,415.71 and 4,059.45

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Solution

The fourth proportional to 9,609.57, 14,415.71 and 4,059.45 is: 6,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.57 : 14,415.71 = 4,059.45 : x
  2. Step 2: Convert to fraction form
    9,609.57/14,415.71 = 4,059.45/x
  3. Step 3: Cross multiply
    9,609.57x = 14,415.71 × 4,059.45
  4. Step 4: Simplify right side
    9,609.57x = 58,519,833.66
  5. Step 5: Solve for x
    x = 58,519,833.66/9,609.57
  6. Step 6: Final answer
    x = 6,089.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.