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Finding the Fourth Proportional to 9,735.76, 14,600.35 and 3,072.20

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Solution

The fourth proportional to 9,735.76, 14,600.35 and 3,072.20 is: 4,607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.76 : 14,600.35 = 3,072.20 : x
  2. Step 2: Convert to fraction form
    9,735.76/14,600.35 = 3,072.20/x
  3. Step 3: Cross multiply
    9,735.76x = 14,600.35 × 3,072.20
  4. Step 4: Simplify right side
    9,735.76x = 44,855,195.27
  5. Step 5: Solve for x
    x = 44,855,195.27/9,735.76
  6. Step 6: Final answer
    x = 4,607.26

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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.