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Finding the Fourth Proportional to 9,737.56, 14,599.95 and 3,494.44

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Solution

The fourth proportional to 9,737.56, 14,599.95 and 3,494.44 is: 5,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.56 : 14,599.95 = 3,494.44 : x
  2. Step 2: Convert to fraction form
    9,737.56/14,599.95 = 3,494.44/x
  3. Step 3: Cross multiply
    9,737.56x = 14,599.95 × 3,494.44
  4. Step 4: Simplify right side
    9,737.56x = 51,018,649.28
  5. Step 5: Solve for x
    x = 51,018,649.28/9,737.56
  6. Step 6: Final answer
    x = 5,239.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.