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Finding the Fourth Proportional to 6,293.95, 9,440.31 and 1,911.45

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Solution

The fourth proportional to 6,293.95, 9,440.31 and 1,911.45 is: 2,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.95 : 9,440.31 = 1,911.45 : x
  2. Step 2: Convert to fraction form
    6,293.95/9,440.31 = 1,911.45/x
  3. Step 3: Cross multiply
    6,293.95x = 9,440.31 × 1,911.45
  4. Step 4: Simplify right side
    6,293.95x = 18,044,638.13
  5. Step 5: Solve for x
    x = 18,044,638.13/6,293.95
  6. Step 6: Final answer
    x = 2,866.98

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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.