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Finding the Fourth Proportional to 6,175.40, 9,284.70 and 6,045.80

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Solution

The fourth proportional to 6,175.40, 9,284.70 and 6,045.80 is: 9,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.40 : 9,284.70 = 6,045.80 : x
  2. Step 2: Convert to fraction form
    6,175.40/9,284.70 = 6,045.80/x
  3. Step 3: Cross multiply
    6,175.40x = 9,284.70 × 6,045.80
  4. Step 4: Simplify right side
    6,175.40x = 56,133,439.26
  5. Step 5: Solve for x
    x = 56,133,439.26/6,175.40
  6. Step 6: Final answer
    x = 9,089.85

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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.