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Finding the Fourth Proportional to 9,977.42, 14,946.98 and 5,581.56

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Solution

The fourth proportional to 9,977.42, 14,946.98 and 5,581.56 is: 8,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.42 : 14,946.98 = 5,581.56 : x
  2. Step 2: Convert to fraction form
    9,977.42/14,946.98 = 5,581.56/x
  3. Step 3: Cross multiply
    9,977.42x = 14,946.98 × 5,581.56
  4. Step 4: Simplify right side
    9,977.42x = 83,427,465.69
  5. Step 5: Solve for x
    x = 83,427,465.69/9,977.42
  6. Step 6: Final answer
    x = 8,361.63

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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.