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Finding the Fourth Proportional to 6,293.95, 9,442.28 and 1,911.76

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Solution

The fourth proportional to 6,293.95, 9,442.28 and 1,911.76 is: 2,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.95 : 9,442.28 = 1,911.76 : x
  2. Step 2: Convert to fraction form
    6,293.95/9,442.28 = 1,911.76/x
  3. Step 3: Cross multiply
    6,293.95x = 9,442.28 × 1,911.76
  4. Step 4: Simplify right side
    6,293.95x = 18,051,354.39
  5. Step 5: Solve for x
    x = 18,051,354.39/6,293.95
  6. Step 6: Final answer
    x = 2,868.05

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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.