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Finding the Fourth Proportional to 12,875.14, 19,294.08 and 6,293.89

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Solution

The fourth proportional to 12,875.14, 19,294.08 and 6,293.89 is: 9,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.14 : 19,294.08 = 6,293.89 : x
  2. Step 2: Convert to fraction form
    12,875.14/19,294.08 = 6,293.89/x
  3. Step 3: Cross multiply
    12,875.14x = 19,294.08 × 6,293.89
  4. Step 4: Simplify right side
    12,875.14x = 121,434,817.17
  5. Step 5: Solve for x
    x = 121,434,817.17/12,875.14
  6. Step 6: Final answer
    x = 9,431.73

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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.