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Finding the Fourth Proportional to 9,516.90, 13,133.05 and 5,268.14

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Solution

The fourth proportional to 9,516.90, 13,133.05 and 5,268.14 is: 7,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.90 : 13,133.05 = 5,268.14 : x
  2. Step 2: Convert to fraction form
    9,516.90/13,133.05 = 5,268.14/x
  3. Step 3: Cross multiply
    9,516.90x = 13,133.05 × 5,268.14
  4. Step 4: Simplify right side
    9,516.90x = 69,186,746.03
  5. Step 5: Solve for x
    x = 69,186,746.03/9,516.90
  6. Step 6: Final answer
    x = 7,269.88

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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.