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Finding the Fourth Proportional to 9,740.64, 14,612.64 and 3,164.96

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Solution

The fourth proportional to 9,740.64, 14,612.64 and 3,164.96 is: 4,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.64 : 14,612.64 = 3,164.96 : x
  2. Step 2: Convert to fraction form
    9,740.64/14,612.64 = 3,164.96/x
  3. Step 3: Cross multiply
    9,740.64x = 14,612.64 × 3,164.96
  4. Step 4: Simplify right side
    9,740.64x = 46,248,421.09
  5. Step 5: Solve for x
    x = 46,248,421.09/9,740.64
  6. Step 6: Final answer
    x = 4,747.99

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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.