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Finding the Fourth Proportional to 6,193.04, 9,283.80 and 3,071.12

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Solution

The fourth proportional to 6,193.04, 9,283.80 and 3,071.12 is: 4,603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.04 : 9,283.80 = 3,071.12 : x
  2. Step 2: Convert to fraction form
    6,193.04/9,283.80 = 3,071.12/x
  3. Step 3: Cross multiply
    6,193.04x = 9,283.80 × 3,071.12
  4. Step 4: Simplify right side
    6,193.04x = 28,511,663.86
  5. Step 5: Solve for x
    x = 28,511,663.86/6,193.04
  6. Step 6: Final answer
    x = 4,603.82

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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.