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Finding the Fourth Proportional to 6,972.28, 9,626.25 and 4,322.50

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Solution

The fourth proportional to 6,972.28, 9,626.25 and 4,322.50 is: 5,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.28 : 9,626.25 = 4,322.50 : x
  2. Step 2: Convert to fraction form
    6,972.28/9,626.25 = 4,322.50/x
  3. Step 3: Cross multiply
    6,972.28x = 9,626.25 × 4,322.50
  4. Step 4: Simplify right side
    6,972.28x = 41,609,465.63
  5. Step 5: Solve for x
    x = 41,609,465.63/6,972.28
  6. Step 6: Final answer
    x = 5,967.84

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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.