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Finding the Fourth Proportional to 6,386.99, 9,580.47 and 1,769.99

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Solution

The fourth proportional to 6,386.99, 9,580.47 and 1,769.99 is: 2,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.99 : 9,580.47 = 1,769.99 : x
  2. Step 2: Convert to fraction form
    6,386.99/9,580.47 = 1,769.99/x
  3. Step 3: Cross multiply
    6,386.99x = 9,580.47 × 1,769.99
  4. Step 4: Simplify right side
    6,386.99x = 16,957,288.19
  5. Step 5: Solve for x
    x = 16,957,288.19/6,386.99
  6. Step 6: Final answer
    x = 2,654.98

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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.