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Finding the Fourth Proportional to 9,759.54, 14,641.65 and 3,185.74

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Solution

The fourth proportional to 9,759.54, 14,641.65 and 3,185.74 is: 4,779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.54 : 14,641.65 = 3,185.74 : x
  2. Step 2: Convert to fraction form
    9,759.54/14,641.65 = 3,185.74/x
  3. Step 3: Cross multiply
    9,759.54x = 14,641.65 × 3,185.74
  4. Step 4: Simplify right side
    9,759.54x = 46,644,482.11
  5. Step 5: Solve for x
    x = 46,644,482.11/9,759.54
  6. Step 6: Final answer
    x = 4,779.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.