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Finding the Fourth Proportional to 9,105.28, 12,564.52 and 5,567.81

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Solution

The fourth proportional to 9,105.28, 12,564.52 and 5,567.81 is: 7,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.28 : 12,564.52 = 5,567.81 : x
  2. Step 2: Convert to fraction form
    9,105.28/12,564.52 = 5,567.81/x
  3. Step 3: Cross multiply
    9,105.28x = 12,564.52 × 5,567.81
  4. Step 4: Simplify right side
    9,105.28x = 69,956,783.36
  5. Step 5: Solve for x
    x = 69,956,783.36/9,105.28
  6. Step 6: Final answer
    x = 7,683.10

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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.