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Finding the Fourth Proportional to 9,491.76, 13,096.63 and 5,510.82

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Solution

The fourth proportional to 9,491.76, 13,096.63 and 5,510.82 is: 7,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.76 : 13,096.63 = 5,510.82 : x
  2. Step 2: Convert to fraction form
    9,491.76/13,096.63 = 5,510.82/x
  3. Step 3: Cross multiply
    9,491.76x = 13,096.63 × 5,510.82
  4. Step 4: Simplify right side
    9,491.76x = 72,173,170.54
  5. Step 5: Solve for x
    x = 72,173,170.54/9,491.76
  6. Step 6: Final answer
    x = 7,603.77

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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.