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Finding the Fourth Proportional to 9,756.81, 13,466.39 and 6,614.01

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Solution

The fourth proportional to 9,756.81, 13,466.39 and 6,614.01 is: 9,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.81 : 13,466.39 = 6,614.01 : x
  2. Step 2: Convert to fraction form
    9,756.81/13,466.39 = 6,614.01/x
  3. Step 3: Cross multiply
    9,756.81x = 13,466.39 × 6,614.01
  4. Step 4: Simplify right side
    9,756.81x = 89,066,805.05
  5. Step 5: Solve for x
    x = 89,066,805.05/9,756.81
  6. Step 6: Final answer
    x = 9,128.68

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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.