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Finding the Fourth Proportional to 7,137.42, 9,847.71 and 4,340.94

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Solution

The fourth proportional to 7,137.42, 9,847.71 and 4,340.94 is: 5,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.42 : 9,847.71 = 4,340.94 : x
  2. Step 2: Convert to fraction form
    7,137.42/9,847.71 = 4,340.94/x
  3. Step 3: Cross multiply
    7,137.42x = 9,847.71 × 4,340.94
  4. Step 4: Simplify right side
    7,137.42x = 42,748,318.25
  5. Step 5: Solve for x
    x = 42,748,318.25/7,137.42
  6. Step 6: Final answer
    x = 5,989.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.