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Finding the Fourth Proportional to 9,358.72, 14,040.64 and 3,808.64

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Solution

The fourth proportional to 9,358.72, 14,040.64 and 3,808.64 is: 5,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.72 : 14,040.64 = 3,808.64 : x
  2. Step 2: Convert to fraction form
    9,358.72/14,040.64 = 3,808.64/x
  3. Step 3: Cross multiply
    9,358.72x = 14,040.64 × 3,808.64
  4. Step 4: Simplify right side
    9,358.72x = 53,475,743.13
  5. Step 5: Solve for x
    x = 53,475,743.13/9,358.72
  6. Step 6: Final answer
    x = 5,714.00

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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.