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Finding the Fourth Proportional to 9,456.75, 13,051.23 and 5,265

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Solution

The fourth proportional to 9,456.75, 13,051.23 and 5,265 is: 7,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.75 : 13,051.23 = 5,265 : x
  2. Step 2: Convert to fraction form
    9,456.75/13,051.23 = 5,265/x
  3. Step 3: Cross multiply
    9,456.75x = 13,051.23 × 5,265
  4. Step 4: Simplify right side
    9,456.75x = 68,714,706.21
  5. Step 5: Solve for x
    x = 68,714,706.21/9,456.75
  6. Step 6: Final answer
    x = 7,266.21

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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.