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Finding the Fourth Proportional to 9,220.74, 13,830.75 and 2,646.90

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Solution

The fourth proportional to 9,220.74, 13,830.75 and 2,646.90 is: 3,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.74 : 13,830.75 = 2,646.90 : x
  2. Step 2: Convert to fraction form
    9,220.74/13,830.75 = 2,646.90/x
  3. Step 3: Cross multiply
    9,220.74x = 13,830.75 × 2,646.90
  4. Step 4: Simplify right side
    9,220.74x = 36,608,612.18
  5. Step 5: Solve for x
    x = 36,608,612.18/9,220.74
  6. Step 6: Final answer
    x = 3,970.25

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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.