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Finding the Fourth Proportional to 9,571.26, 14,346.63 and 4,634.10

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Solution

The fourth proportional to 9,571.26, 14,346.63 and 4,634.10 is: 6,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.26 : 14,346.63 = 4,634.10 : x
  2. Step 2: Convert to fraction form
    9,571.26/14,346.63 = 4,634.10/x
  3. Step 3: Cross multiply
    9,571.26x = 14,346.63 × 4,634.10
  4. Step 4: Simplify right side
    9,571.26x = 66,483,718.08
  5. Step 5: Solve for x
    x = 66,483,718.08/9,571.26
  6. Step 6: Final answer
    x = 6,946.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.