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Finding the Fourth Proportional to 9,153, 13,724.64 and 4,220.10

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Solution

The fourth proportional to 9,153, 13,724.64 and 4,220.10 is: 6,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153 : 13,724.64 = 4,220.10 : x
  2. Step 2: Convert to fraction form
    9,153/13,724.64 = 4,220.10/x
  3. Step 3: Cross multiply
    9,153x = 13,724.64 × 4,220.10
  4. Step 4: Simplify right side
    9,153x = 57,919,353.26
  5. Step 5: Solve for x
    x = 57,919,353.26/9,153
  6. Step 6: Final answer
    x = 6,327.91

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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.