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Finding the Fourth Proportional to 9,460, 13,055.72 and 5,268.25

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Solution

The fourth proportional to 9,460, 13,055.72 and 5,268.25 is: 7,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460 : 13,055.72 = 5,268.25 : x
  2. Step 2: Convert to fraction form
    9,460/13,055.72 = 5,268.25/x
  3. Step 3: Cross multiply
    9,460x = 13,055.72 × 5,268.25
  4. Step 4: Simplify right side
    9,460x = 68,780,796.89
  5. Step 5: Solve for x
    x = 68,780,796.89/9,460
  6. Step 6: Final answer
    x = 7,270.70

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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.