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Finding the Fourth Proportional to 6,098.04, 9,143.64 and 1,937.30

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Solution

The fourth proportional to 6,098.04, 9,143.64 and 1,937.30 is: 2,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.04 : 9,143.64 = 1,937.30 : x
  2. Step 2: Convert to fraction form
    6,098.04/9,143.64 = 1,937.30/x
  3. Step 3: Cross multiply
    6,098.04x = 9,143.64 × 1,937.30
  4. Step 4: Simplify right side
    6,098.04x = 17,713,928.05
  5. Step 5: Solve for x
    x = 17,713,928.05/6,098.04
  6. Step 6: Final answer
    x = 2,904.86

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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.