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Finding the Fourth Proportional to 12,862.12, 19,293.82 and 6,293.80

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Solution

The fourth proportional to 12,862.12, 19,293.82 and 6,293.80 is: 9,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.12 : 19,293.82 = 6,293.80 : x
  2. Step 2: Convert to fraction form
    12,862.12/19,293.82 = 6,293.80/x
  3. Step 3: Cross multiply
    12,862.12x = 19,293.82 × 6,293.80
  4. Step 4: Simplify right side
    12,862.12x = 121,431,444.32
  5. Step 5: Solve for x
    x = 121,431,444.32/12,862.12
  6. Step 6: Final answer
    x = 9,441.01

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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.