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Finding the Fourth Proportional to 9,627.57, 13,284.41 and 5,378.45

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Solution

The fourth proportional to 9,627.57, 13,284.41 and 5,378.45 is: 7,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.57 : 13,284.41 = 5,378.45 : x
  2. Step 2: Convert to fraction form
    9,627.57/13,284.41 = 5,378.45/x
  3. Step 3: Cross multiply
    9,627.57x = 13,284.41 × 5,378.45
  4. Step 4: Simplify right side
    9,627.57x = 71,449,441.65
  5. Step 5: Solve for x
    x = 71,449,441.65/9,627.57
  6. Step 6: Final answer
    x = 7,421.34

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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.