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Finding the Fourth Proportional to 9,752.54, 14,633.66 and 4,207.28

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Solution

The fourth proportional to 9,752.54, 14,633.66 and 4,207.28 is: 6,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.54 : 14,633.66 = 4,207.28 : x
  2. Step 2: Convert to fraction form
    9,752.54/14,633.66 = 4,207.28/x
  3. Step 3: Cross multiply
    9,752.54x = 14,633.66 × 4,207.28
  4. Step 4: Simplify right side
    9,752.54x = 61,567,842.39
  5. Step 5: Solve for x
    x = 61,567,842.39/9,752.54
  6. Step 6: Final answer
    x = 6,313.01

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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.