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Finding the Fourth Proportional to 9,931.14, 13,706.10 and 5,455.28

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Solution

The fourth proportional to 9,931.14, 13,706.10 and 5,455.28 is: 7,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.14 : 13,706.10 = 5,455.28 : x
  2. Step 2: Convert to fraction form
    9,931.14/13,706.10 = 5,455.28/x
  3. Step 3: Cross multiply
    9,931.14x = 13,706.10 × 5,455.28
  4. Step 4: Simplify right side
    9,931.14x = 74,770,544.68
  5. Step 5: Solve for x
    x = 74,770,544.68/9,931.14
  6. Step 6: Final answer
    x = 7,528.90

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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.