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Finding the Fourth Proportional to 9,090, 13,625.28 and 3,823.74

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Solution

The fourth proportional to 9,090, 13,625.28 and 3,823.74 is: 5,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090 : 13,625.28 = 3,823.74 : x
  2. Step 2: Convert to fraction form
    9,090/13,625.28 = 3,823.74/x
  3. Step 3: Cross multiply
    9,090x = 13,625.28 × 3,823.74
  4. Step 4: Simplify right side
    9,090x = 52,099,528.15
  5. Step 5: Solve for x
    x = 52,099,528.15/9,090
  6. Step 6: Final answer
    x = 5,731.52

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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.