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Finding the Fourth Proportional to 9,681, 13,361.42 and 5,491.68

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Solution

The fourth proportional to 9,681, 13,361.42 and 5,491.68 is: 7,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681 : 13,361.42 = 5,491.68 : x
  2. Step 2: Convert to fraction form
    9,681/13,361.42 = 5,491.68/x
  3. Step 3: Cross multiply
    9,681x = 13,361.42 × 5,491.68
  4. Step 4: Simplify right side
    9,681x = 73,376,642.99
  5. Step 5: Solve for x
    x = 73,376,642.99/9,681
  6. Step 6: Final answer
    x = 7,579.45

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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.