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Finding the Fourth Proportional to 9,701.20, 14,551.80 and 3,126.80

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Solution

The fourth proportional to 9,701.20, 14,551.80 and 3,126.80 is: 4,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.20 : 14,551.80 = 3,126.80 : x
  2. Step 2: Convert to fraction form
    9,701.20/14,551.80 = 3,126.80/x
  3. Step 3: Cross multiply
    9,701.20x = 14,551.80 × 3,126.80
  4. Step 4: Simplify right side
    9,701.20x = 45,500,568.24
  5. Step 5: Solve for x
    x = 45,500,568.24/9,701.20
  6. Step 6: Final answer
    x = 4,690.20

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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.