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Finding the Fourth Proportional to 9,759.73, 14,641.93 and 3,185.93

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Solution

The fourth proportional to 9,759.73, 14,641.93 and 3,185.93 is: 4,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.73 : 14,641.93 = 3,185.93 : x
  2. Step 2: Convert to fraction form
    9,759.73/14,641.93 = 3,185.93/x
  3. Step 3: Cross multiply
    9,759.73x = 14,641.93 × 3,185.93
  4. Step 4: Simplify right side
    9,759.73x = 46,648,164.04
  5. Step 5: Solve for x
    x = 46,648,164.04/9,759.73
  6. Step 6: Final answer
    x = 4,779.66

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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.