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Finding the Fourth Proportional to 9,737.62, 14,600.59 and 4,466.03

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Solution

The fourth proportional to 9,737.62, 14,600.59 and 4,466.03 is: 6,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.62 : 14,600.59 = 4,466.03 : x
  2. Step 2: Convert to fraction form
    9,737.62/14,600.59 = 4,466.03/x
  3. Step 3: Cross multiply
    9,737.62x = 14,600.59 × 4,466.03
  4. Step 4: Simplify right side
    9,737.62x = 65,206,672.96
  5. Step 5: Solve for x
    x = 65,206,672.96/9,737.62
  6. Step 6: Final answer
    x = 6,696.37

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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.