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Finding the Fourth Proportional to 9,255.79, 13,877.53 and 5,097.75

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Solution

The fourth proportional to 9,255.79, 13,877.53 and 5,097.75 is: 7,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.79 : 13,877.53 = 5,097.75 : x
  2. Step 2: Convert to fraction form
    9,255.79/13,877.53 = 5,097.75/x
  3. Step 3: Cross multiply
    9,255.79x = 13,877.53 × 5,097.75
  4. Step 4: Simplify right side
    9,255.79x = 70,744,191.83
  5. Step 5: Solve for x
    x = 70,744,191.83/9,255.79
  6. Step 6: Final answer
    x = 7,643.24

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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.