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Finding the Fourth Proportional to 9,770.64, 14,661.24 and 6,485.28

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Solution

The fourth proportional to 9,770.64, 14,661.24 and 6,485.28 is: 9,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.64 : 14,661.24 = 6,485.28 : x
  2. Step 2: Convert to fraction form
    9,770.64/14,661.24 = 6,485.28/x
  3. Step 3: Cross multiply
    9,770.64x = 14,661.24 × 6,485.28
  4. Step 4: Simplify right side
    9,770.64x = 95,082,246.55
  5. Step 5: Solve for x
    x = 95,082,246.55/9,770.64
  6. Step 6: Final answer
    x = 9,731.42

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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.