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Finding the Fourth Proportional to 6,386.70, 9,580.32 and 2,004.20

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Solution

The fourth proportional to 6,386.70, 9,580.32 and 2,004.20 is: 3,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.70 : 9,580.32 = 2,004.20 : x
  2. Step 2: Convert to fraction form
    6,386.70/9,580.32 = 2,004.20/x
  3. Step 3: Cross multiply
    6,386.70x = 9,580.32 × 2,004.20
  4. Step 4: Simplify right side
    6,386.70x = 19,200,877.34
  5. Step 5: Solve for x
    x = 19,200,877.34/6,386.70
  6. Step 6: Final answer
    x = 3,006.38

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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.