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Finding the Fourth Proportional to 6,573.72, 9,813.75 and 6,343.05

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Solution

The fourth proportional to 6,573.72, 9,813.75 and 6,343.05 is: 9,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.72 : 9,813.75 = 6,343.05 : x
  2. Step 2: Convert to fraction form
    6,573.72/9,813.75 = 6,343.05/x
  3. Step 3: Cross multiply
    6,573.72x = 9,813.75 × 6,343.05
  4. Step 4: Simplify right side
    6,573.72x = 62,249,106.94
  5. Step 5: Solve for x
    x = 62,249,106.94/6,573.72
  6. Step 6: Final answer
    x = 9,469.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.