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Finding the Fourth Proportional to 9,220.65, 13,830.96 and 2,295.15

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Solution

The fourth proportional to 9,220.65, 13,830.96 and 2,295.15 is: 3,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.65 : 13,830.96 = 2,295.15 : x
  2. Step 2: Convert to fraction form
    9,220.65/13,830.96 = 2,295.15/x
  3. Step 3: Cross multiply
    9,220.65x = 13,830.96 × 2,295.15
  4. Step 4: Simplify right side
    9,220.65x = 31,744,127.84
  5. Step 5: Solve for x
    x = 31,744,127.84/9,220.65
  6. Step 6: Final answer
    x = 3,442.72

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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.