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Finding the Fourth Proportional to 9,769.59, 14,668.02 and 6,060.60

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Solution

The fourth proportional to 9,769.59, 14,668.02 and 6,060.60 is: 9,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.59 : 14,668.02 = 6,060.60 : x
  2. Step 2: Convert to fraction form
    9,769.59/14,668.02 = 6,060.60/x
  3. Step 3: Cross multiply
    9,769.59x = 14,668.02 × 6,060.60
  4. Step 4: Simplify right side
    9,769.59x = 88,897,002.01
  5. Step 5: Solve for x
    x = 88,897,002.01/9,769.59
  6. Step 6: Final answer
    x = 9,099.36

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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.