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Finding the Fourth Proportional to 9,539.75, 13,166.07 and 5,348

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Solution

The fourth proportional to 9,539.75, 13,166.07 and 5,348 is: 7,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.75 : 13,166.07 = 5,348 : x
  2. Step 2: Convert to fraction form
    9,539.75/13,166.07 = 5,348/x
  3. Step 3: Cross multiply
    9,539.75x = 13,166.07 × 5,348
  4. Step 4: Simplify right side
    9,539.75x = 70,412,142.36
  5. Step 5: Solve for x
    x = 70,412,142.36/9,539.75
  6. Step 6: Final answer
    x = 7,380.92

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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.