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Finding the Fourth Proportional to 9,400.02, 14,101.65 and 3,160.64

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Solution

The fourth proportional to 9,400.02, 14,101.65 and 3,160.64 is: 4,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.02 : 14,101.65 = 3,160.64 : x
  2. Step 2: Convert to fraction form
    9,400.02/14,101.65 = 3,160.64/x
  3. Step 3: Cross multiply
    9,400.02x = 14,101.65 × 3,160.64
  4. Step 4: Simplify right side
    9,400.02x = 44,570,168.55
  5. Step 5: Solve for x
    x = 44,570,168.55/9,400.02
  6. Step 6: Final answer
    x = 4,741.50

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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.