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Finding the Fourth Proportional to 9,255.71, 13,877.38 and 5,097.66

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Solution

The fourth proportional to 9,255.71, 13,877.38 and 5,097.66 is: 7,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.71 : 13,877.38 = 5,097.66 : x
  2. Step 2: Convert to fraction form
    9,255.71/13,877.38 = 5,097.66/x
  3. Step 3: Cross multiply
    9,255.71x = 13,877.38 × 5,097.66
  4. Step 4: Simplify right side
    9,255.71x = 70,742,164.93
  5. Step 5: Solve for x
    x = 70,742,164.93/9,255.71
  6. Step 6: Final answer
    x = 7,643.08

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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.