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Finding the Fourth Proportional to 9,460.94, 13,056.50 and 5,269.19

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Solution

The fourth proportional to 9,460.94, 13,056.50 and 5,269.19 is: 7,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.94 : 13,056.50 = 5,269.19 : x
  2. Step 2: Convert to fraction form
    9,460.94/13,056.50 = 5,269.19/x
  3. Step 3: Cross multiply
    9,460.94x = 13,056.50 × 5,269.19
  4. Step 4: Simplify right side
    9,460.94x = 68,797,179.24
  5. Step 5: Solve for x
    x = 68,797,179.24/9,460.94
  6. Step 6: Final answer
    x = 7,271.71

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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.