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Finding the Fourth Proportional to 9,273.12, 13,902.70 and 3,029.40

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Solution

The fourth proportional to 9,273.12, 13,902.70 and 3,029.40 is: 4,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.12 : 13,902.70 = 3,029.40 : x
  2. Step 2: Convert to fraction form
    9,273.12/13,902.70 = 3,029.40/x
  3. Step 3: Cross multiply
    9,273.12x = 13,902.70 × 3,029.40
  4. Step 4: Simplify right side
    9,273.12x = 42,116,839.38
  5. Step 5: Solve for x
    x = 42,116,839.38/9,273.12
  6. Step 6: Final answer
    x = 4,541.82

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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.