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Finding the Fourth Proportional to 9,412.56, 12,989.16 and 5,220.72

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Solution

The fourth proportional to 9,412.56, 12,989.16 and 5,220.72 is: 7,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.56 : 12,989.16 = 5,220.72 : x
  2. Step 2: Convert to fraction form
    9,412.56/12,989.16 = 5,220.72/x
  3. Step 3: Cross multiply
    9,412.56x = 12,989.16 × 5,220.72
  4. Step 4: Simplify right side
    9,412.56x = 67,812,767.40
  5. Step 5: Solve for x
    x = 67,812,767.40/9,412.56
  6. Step 6: Final answer
    x = 7,204.50

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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.