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Finding the Fourth Proportional to 9,681.96, 13,362.66 and 5,491.56

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Solution

The fourth proportional to 9,681.96, 13,362.66 and 5,491.56 is: 7,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.96 : 13,362.66 = 5,491.56 : x
  2. Step 2: Convert to fraction form
    9,681.96/13,362.66 = 5,491.56/x
  3. Step 3: Cross multiply
    9,681.96x = 13,362.66 × 5,491.56
  4. Step 4: Simplify right side
    9,681.96x = 73,381,849.15
  5. Step 5: Solve for x
    x = 73,381,849.15/9,681.96
  6. Step 6: Final answer
    x = 7,579.23

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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.