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Finding the Fourth Proportional to 9,809.64, 14,709.85 and 3,565.25

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Solution

The fourth proportional to 9,809.64, 14,709.85 and 3,565.25 is: 5,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.64 : 14,709.85 = 3,565.25 : x
  2. Step 2: Convert to fraction form
    9,809.64/14,709.85 = 3,565.25/x
  3. Step 3: Cross multiply
    9,809.64x = 14,709.85 × 3,565.25
  4. Step 4: Simplify right side
    9,809.64x = 52,444,201.34
  5. Step 5: Solve for x
    x = 52,444,201.34/9,809.64
  6. Step 6: Final answer
    x = 5,346.19

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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.