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Finding the Fourth Proportional to 9,805.51, 14,708.13 and 3,565.27

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Solution

The fourth proportional to 9,805.51, 14,708.13 and 3,565.27 is: 5,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.51 : 14,708.13 = 3,565.27 : x
  2. Step 2: Convert to fraction form
    9,805.51/14,708.13 = 3,565.27/x
  3. Step 3: Cross multiply
    9,805.51x = 14,708.13 × 3,565.27
  4. Step 4: Simplify right side
    9,805.51x = 52,438,454.65
  5. Step 5: Solve for x
    x = 52,438,454.65/9,805.51
  6. Step 6: Final answer
    x = 5,347.86

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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.