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Finding the Fourth Proportional to 9,661.64, 14,490.14 and 4,462.52

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Solution

The fourth proportional to 9,661.64, 14,490.14 and 4,462.52 is: 6,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.64 : 14,490.14 = 4,462.52 : x
  2. Step 2: Convert to fraction form
    9,661.64/14,490.14 = 4,462.52/x
  3. Step 3: Cross multiply
    9,661.64x = 14,490.14 × 4,462.52
  4. Step 4: Simplify right side
    9,661.64x = 64,662,539.55
  5. Step 5: Solve for x
    x = 64,662,539.55/9,661.64
  6. Step 6: Final answer
    x = 6,692.71

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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.