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Finding the Fourth Proportional to 9,762.78, 14,645.16 and 3,523.32

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Solution

The fourth proportional to 9,762.78, 14,645.16 and 3,523.32 is: 5,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.78 : 14,645.16 = 3,523.32 : x
  2. Step 2: Convert to fraction form
    9,762.78/14,645.16 = 3,523.32/x
  3. Step 3: Cross multiply
    9,762.78x = 14,645.16 × 3,523.32
  4. Step 4: Simplify right side
    9,762.78x = 51,599,585.13
  5. Step 5: Solve for x
    x = 51,599,585.13/9,762.78
  6. Step 6: Final answer
    x = 5,285.34

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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.