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Finding the Fourth Proportional to 9,122.95, 13,684.29 and 4,961.98

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Solution

The fourth proportional to 9,122.95, 13,684.29 and 4,961.98 is: 7,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.95 : 13,684.29 = 4,961.98 : x
  2. Step 2: Convert to fraction form
    9,122.95/13,684.29 = 4,961.98/x
  3. Step 3: Cross multiply
    9,122.95x = 13,684.29 × 4,961.98
  4. Step 4: Simplify right side
    9,122.95x = 67,901,173.29
  5. Step 5: Solve for x
    x = 67,901,173.29/9,122.95
  6. Step 6: Final answer
    x = 7,442.90

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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.