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Finding the Fourth Proportional to 9,160.89, 13,730.71 and 4,220.15

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Solution

The fourth proportional to 9,160.89, 13,730.71 and 4,220.15 is: 6,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.89 : 13,730.71 = 4,220.15 : x
  2. Step 2: Convert to fraction form
    9,160.89/13,730.71 = 4,220.15/x
  3. Step 3: Cross multiply
    9,160.89x = 13,730.71 × 4,220.15
  4. Step 4: Simplify right side
    9,160.89x = 57,945,576.60
  5. Step 5: Solve for x
    x = 57,945,576.60/9,160.89
  6. Step 6: Final answer
    x = 6,325.32

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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.