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Finding the Fourth Proportional to 41,142, 61,713.21 and 9,977.25

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Solution

The fourth proportional to 41,142, 61,713.21 and 9,977.25 is: 14,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,142 : 61,713.21 = 9,977.25 : x
  2. Step 2: Convert to fraction form
    41,142/61,713.21 = 9,977.25/x
  3. Step 3: Cross multiply
    41,142x = 61,713.21 × 9,977.25
  4. Step 4: Simplify right side
    41,142x = 615,728,124.47
  5. Step 5: Solve for x
    x = 615,728,124.47/41,142
  6. Step 6: Final answer
    x = 14,965.93

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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.