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Finding the Fourth Proportional to 9,585.93, 14,380.73 and 3,347.74

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Solution

The fourth proportional to 9,585.93, 14,380.73 and 3,347.74 is: 5,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.93 : 14,380.73 = 3,347.74 : x
  2. Step 2: Convert to fraction form
    9,585.93/14,380.73 = 3,347.74/x
  3. Step 3: Cross multiply
    9,585.93x = 14,380.73 × 3,347.74
  4. Step 4: Simplify right side
    9,585.93x = 48,142,945.05
  5. Step 5: Solve for x
    x = 48,142,945.05/9,585.93
  6. Step 6: Final answer
    x = 5,022.25

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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.