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Finding the Fourth Proportional to 9,656.64, 14,487.12 and 3,082.32

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Solution

The fourth proportional to 9,656.64, 14,487.12 and 3,082.32 is: 4,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.64 : 14,487.12 = 3,082.32 : x
  2. Step 2: Convert to fraction form
    9,656.64/14,487.12 = 3,082.32/x
  3. Step 3: Cross multiply
    9,656.64x = 14,487.12 × 3,082.32
  4. Step 4: Simplify right side
    9,656.64x = 44,653,939.72
  5. Step 5: Solve for x
    x = 44,653,939.72/9,656.64
  6. Step 6: Final answer
    x = 4,624.17

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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.