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Finding the Fourth Proportional to 9,274.80, 13,902.92 and 4,598.23

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Solution

The fourth proportional to 9,274.80, 13,902.92 and 4,598.23 is: 6,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.80 : 13,902.92 = 4,598.23 : x
  2. Step 2: Convert to fraction form
    9,274.80/13,902.92 = 4,598.23/x
  3. Step 3: Cross multiply
    9,274.80x = 13,902.92 × 4,598.23
  4. Step 4: Simplify right side
    9,274.80x = 63,928,800.84
  5. Step 5: Solve for x
    x = 63,928,800.84/9,274.80
  6. Step 6: Final answer
    x = 6,892.74

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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.