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Finding the Fourth Proportional to 6,175.70, 9,263.55 and 4,535.45

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Solution

The fourth proportional to 6,175.70, 9,263.55 and 4,535.45 is: 6,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.70 : 9,263.55 = 4,535.45 : x
  2. Step 2: Convert to fraction form
    6,175.70/9,263.55 = 4,535.45/x
  3. Step 3: Cross multiply
    6,175.70x = 9,263.55 × 4,535.45
  4. Step 4: Simplify right side
    6,175.70x = 42,014,367.85
  5. Step 5: Solve for x
    x = 42,014,367.85/6,175.70
  6. Step 6: Final answer
    x = 6,803.18

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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.