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Finding the Fourth Proportional to 9,106.74, 12,568.56 and 5,571.12

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Solution

The fourth proportional to 9,106.74, 12,568.56 and 5,571.12 is: 7,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.74 : 12,568.56 = 5,571.12 : x
  2. Step 2: Convert to fraction form
    9,106.74/12,568.56 = 5,571.12/x
  3. Step 3: Cross multiply
    9,106.74x = 12,568.56 × 5,571.12
  4. Step 4: Simplify right side
    9,106.74x = 70,020,955.99
  5. Step 5: Solve for x
    x = 70,020,955.99/9,106.74
  6. Step 6: Final answer
    x = 7,688.92

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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.