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Finding the Fourth Proportional to 9,737.82, 14,607.54 and 3,163.86

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Solution

The fourth proportional to 9,737.82, 14,607.54 and 3,163.86 is: 4,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.82 : 14,607.54 = 3,163.86 : x
  2. Step 2: Convert to fraction form
    9,737.82/14,607.54 = 3,163.86/x
  3. Step 3: Cross multiply
    9,737.82x = 14,607.54 × 3,163.86
  4. Step 4: Simplify right side
    9,737.82x = 46,216,211.50
  5. Step 5: Solve for x
    x = 46,216,211.50/9,737.82
  6. Step 6: Final answer
    x = 4,746.05

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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.