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Finding the Fourth Proportional to 9,460.69, 13,056.16 and 5,268.94

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Solution

The fourth proportional to 9,460.69, 13,056.16 and 5,268.94 is: 7,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.69 : 13,056.16 = 5,268.94 : x
  2. Step 2: Convert to fraction form
    9,460.69/13,056.16 = 5,268.94/x
  3. Step 3: Cross multiply
    9,460.69x = 13,056.16 × 5,268.94
  4. Step 4: Simplify right side
    9,460.69x = 68,792,077.86
  5. Step 5: Solve for x
    x = 68,792,077.86/9,460.69
  6. Step 6: Final answer
    x = 7,271.36

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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.