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Finding the Fourth Proportional to 6,193.04, 9,290.22 and 1,810.52

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Solution

The fourth proportional to 6,193.04, 9,290.22 and 1,810.52 is: 2,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.04 : 9,290.22 = 1,810.52 : x
  2. Step 2: Convert to fraction form
    6,193.04/9,290.22 = 1,810.52/x
  3. Step 3: Cross multiply
    6,193.04x = 9,290.22 × 1,810.52
  4. Step 4: Simplify right side
    6,193.04x = 16,820,129.11
  5. Step 5: Solve for x
    x = 16,820,129.11/6,193.04
  6. Step 6: Final answer
    x = 2,715.97

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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.