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Finding the Fourth Proportional to 9,461.16, 13,055.62 and 5,269

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Solution

The fourth proportional to 9,461.16, 13,055.62 and 5,269 is: 7,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.16 : 13,055.62 = 5,269 : x
  2. Step 2: Convert to fraction form
    9,461.16/13,055.62 = 5,269/x
  3. Step 3: Cross multiply
    9,461.16x = 13,055.62 × 5,269
  4. Step 4: Simplify right side
    9,461.16x = 68,790,061.78
  5. Step 5: Solve for x
    x = 68,790,061.78/9,461.16
  6. Step 6: Final answer
    x = 7,270.79

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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.