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Finding the Fourth Proportional to 9,756.41, 13,463.75 and 5,280.06

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Solution

The fourth proportional to 9,756.41, 13,463.75 and 5,280.06 is: 7,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.41 : 13,463.75 = 5,280.06 : x
  2. Step 2: Convert to fraction form
    9,756.41/13,463.75 = 5,280.06/x
  3. Step 3: Cross multiply
    9,756.41x = 13,463.75 × 5,280.06
  4. Step 4: Simplify right side
    9,756.41x = 71,089,407.83
  5. Step 5: Solve for x
    x = 71,089,407.83/9,756.41
  6. Step 6: Final answer
    x = 7,286.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.