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Finding the Fourth Proportional to 6,385.34, 9,578.01 and 2,003.13

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Solution

The fourth proportional to 6,385.34, 9,578.01 and 2,003.13 is: 3,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.34 : 9,578.01 = 2,003.13 : x
  2. Step 2: Convert to fraction form
    6,385.34/9,578.01 = 2,003.13/x
  3. Step 3: Cross multiply
    6,385.34x = 9,578.01 × 2,003.13
  4. Step 4: Simplify right side
    6,385.34x = 19,185,999.17
  5. Step 5: Solve for x
    x = 19,185,999.17/6,385.34
  6. Step 6: Final answer
    x = 3,004.70

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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.