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Finding the Fourth Proportional to 9,419.18, 12,965.84 and 8,142.47

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Solution

The fourth proportional to 9,419.18, 12,965.84 and 8,142.47 is: 11,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.18 : 12,965.84 = 8,142.47 : x
  2. Step 2: Convert to fraction form
    9,419.18/12,965.84 = 8,142.47/x
  3. Step 3: Cross multiply
    9,419.18x = 12,965.84 × 8,142.47
  4. Step 4: Simplify right side
    9,419.18x = 105,573,918.75
  5. Step 5: Solve for x
    x = 105,573,918.75/9,419.18
  6. Step 6: Final answer
    x = 11,208.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.