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Finding the Fourth Proportional to 9,871.42, 14,806.76 and 2,475.94

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Solution

The fourth proportional to 9,871.42, 14,806.76 and 2,475.94 is: 3,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.42 : 14,806.76 = 2,475.94 : x
  2. Step 2: Convert to fraction form
    9,871.42/14,806.76 = 2,475.94/x
  3. Step 3: Cross multiply
    9,871.42x = 14,806.76 × 2,475.94
  4. Step 4: Simplify right side
    9,871.42x = 36,660,649.35
  5. Step 5: Solve for x
    x = 36,660,649.35/9,871.42
  6. Step 6: Final answer
    x = 3,713.82

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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.