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Finding the Fourth Proportional to 9,564.28, 13,199.28 and 5,372.52

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Solution

The fourth proportional to 9,564.28, 13,199.28 and 5,372.52 is: 7,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.28 : 13,199.28 = 5,372.52 : x
  2. Step 2: Convert to fraction form
    9,564.28/13,199.28 = 5,372.52/x
  3. Step 3: Cross multiply
    9,564.28x = 13,199.28 × 5,372.52
  4. Step 4: Simplify right side
    9,564.28x = 70,913,395.79
  5. Step 5: Solve for x
    x = 70,913,395.79/9,564.28
  6. Step 6: Final answer
    x = 7,414.40

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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.