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Finding the Fourth Proportional to 9,971.45, 14,957.24 and 2,575.41

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Solution

The fourth proportional to 9,971.45, 14,957.24 and 2,575.41 is: 3,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.45 : 14,957.24 = 2,575.41 : x
  2. Step 2: Convert to fraction form
    9,971.45/14,957.24 = 2,575.41/x
  3. Step 3: Cross multiply
    9,971.45x = 14,957.24 × 2,575.41
  4. Step 4: Simplify right side
    9,971.45x = 38,521,012.59
  5. Step 5: Solve for x
    x = 38,521,012.59/9,971.45
  6. Step 6: Final answer
    x = 3,863.13

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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.