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Finding the Fourth Proportional to 6,454.41, 9,681.95 and 2,071.90

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Solution

The fourth proportional to 6,454.41, 9,681.95 and 2,071.90 is: 3,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.41 : 9,681.95 = 2,071.90 : x
  2. Step 2: Convert to fraction form
    6,454.41/9,681.95 = 2,071.90/x
  3. Step 3: Cross multiply
    6,454.41x = 9,681.95 × 2,071.90
  4. Step 4: Simplify right side
    6,454.41x = 20,060,032.21
  5. Step 5: Solve for x
    x = 20,060,032.21/6,454.41
  6. Step 6: Final answer
    x = 3,107.96

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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.