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Finding the Fourth Proportional to 9,812.80, 14,720.40 and 3,237.20

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Solution

The fourth proportional to 9,812.80, 14,720.40 and 3,237.20 is: 4,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.80 : 14,720.40 = 3,237.20 : x
  2. Step 2: Convert to fraction form
    9,812.80/14,720.40 = 3,237.20/x
  3. Step 3: Cross multiply
    9,812.80x = 14,720.40 × 3,237.20
  4. Step 4: Simplify right side
    9,812.80x = 47,652,878.88
  5. Step 5: Solve for x
    x = 47,652,878.88/9,812.80
  6. Step 6: Final answer
    x = 4,856.20

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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.