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Finding the Fourth Proportional to 9,460.76, 13,056.24 and 5,269

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Solution

The fourth proportional to 9,460.76, 13,056.24 and 5,269 is: 7,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.76 : 13,056.24 = 5,269 : x
  2. Step 2: Convert to fraction form
    9,460.76/13,056.24 = 5,269/x
  3. Step 3: Cross multiply
    9,460.76x = 13,056.24 × 5,269
  4. Step 4: Simplify right side
    9,460.76x = 68,793,328.56
  5. Step 5: Solve for x
    x = 68,793,328.56/9,460.76
  6. Step 6: Final answer
    x = 7,271.44

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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.